Solve the following system:y = x + 3
2x + y = 9

(2, 5)
(5, 2)
(−2, 5)
(2, −5)

Answers

Answer 1

Answer: Hi,

y = x+3
2x+y = 9

2x+(x+3) = 9
2x+x+3 = 9
3x+3 = 9
3x = 9-3
3x = 6
x = 6/3
x = 2

y = x+3
y = 2+3
y = 5

Answer:

(x,y) = (2,5)

Answer 2

Answer: ahhh easy:) all we have to do is plug in y
sooo this question becomes
2x + x + 3 = 9
we add the xs and they become 3x
soooo
3x + 3 = 9
now subtract 3 from both sides
3x +3 = 9
- 3 = -3
they cancel out on the left hand side and the right side of the equal sign becomes a 6
sooooo
3x = 6
divide both sides by 3
3x = 6
÷3 = ÷ 3
the 3s on the left side cancel out
and the right side becomes 2
sooooo
x = 2
but before we can answer this completely we plug it into our first equation
soooo
y = x + 3
to this
y = 2 + 3
so y = 5
x = 2
y = 5
coordinates?
(2, 5)

Related Questions

Factor completely 2x2 − 18
(-2,0) and (1,5)this is a slope question
Gym socks are selling at $4.05 for three pairs. At this rate, how much will eight pairs of socks cost?
Nikki is participating in a charity walk thisweekend. She walks at a pace of 4.2 milesper hour. How long will it take her to walk35.7 miles?
Write the equation of a line in slope intercept form that passes through (3,-2) and (0,-5)

Un técnico de reparaciones de electrodomésticos cobra 25 € por la visita, más 20 € por cada hora de trabajo. A) Escribe la expresión algebraica (fórmula) que nos da el dinero que le tenemos que pagar en total de acuerdo con el tiempo que esté trabajando

Answers

Answer:

x= 25+20y

Step-by-step explanation:

De acuerdo a la situación planteada, la expresión algebraica debe indicar que 25€ que es el valor por la visita más 20€ multiplicado por el número de horas trabajadas es igual al dinero total que se debe pagar. La expresión es:

x= 25+20y, donde

x= valor total a pagar

y= número de horas trabajadas

What is the measure of the vertex angle in the next triangle in the pattern?4 isosceles triangles in a row, each smaller than the one before. The first has base angles 89 degrees and vertex angle 2 degrees, the second has base angles 88 degrees and vertex angle 4 degrees, the third has base angles 87 degrees and vertex angle 6 degrees, and the fourth has base angles 86 degrees and vertex angle 8 degrees,

Not to scale

vertex angle =

Answers

Answer:

The measure of the vertex angle of the next isosceles triangle is 10°

Step-by-step explanation:

The given information are;

The first isosceles triangle; Base angles = 89°, vertex angle = 2°

The second isosceles triangle; Base angles = 88°, vertex angle = 4°

The third isosceles triangle; Base angles = 87°, vertex angle = 6°

The fourth isosceles triangle; Base angles = 86°, vertex angle = 8°

The vertices of the isosceles triangles form a arithmetic projection, with a common difference of 2°

Therefore, the vertex for next isosceles triangle = 8° + 2° = 10°

The base angles are derived from the sum of interior angles of a triangle which is 180°

Which gives;

2 × Base angles + Vertex angle = 180°

2 × Base angles + 10° = 180°

2 × Base angles = 180° - 10° = 170°

Base angles = 170°/2 = 85°

Base angles of the fifth isosceles triangle = 85°

From which we have;

The fifth isosceles triangle; Base angles = 85°, vertex angle = 10°

The measure of the vertex angle of the next (fifth) isosceles triangle = 10°

Which measurement is the best estimate for the capacity of a bottle of nail polish?A : 10 mL

B : 10 L

C : 10 kL

Answers

The best estimate for the capacity of a bottle of nail polish is A: 10 mL

PLEASE HELP ONLY GOT 2 MINUTES LEFT !!!John has a goal to ride his bike 100 miles this summer. John has ridden 12 miles thus far. There are only 40 days left in summer. Write a inequality to represent the average distance, d, in miles, John must ride each day for the rest of summer

Answers

Answer:

y $\geq 2.2$

Step-by-step explanation:

John wants to complete at least 100 miles. he has completed 12 which means he only has 88 left. If you divide 88(miles left) by 40(time left) you get 2.2 miles. so he would need a minimum of 2.2 miles a day to bike 100 miles.

Answer:

12 + 40d ≥ 100

Geoff planted dahlias in his garden. Dahlias have bulbs that divide and reproduce underground. In the first year, Geoff’s garden produced 8 bulbs. In the second year, it produced 16 bulbs, and in the third year it produced 32 bulbs. If this pattern continues, how many bulbs should Geoff expect in the sixth year?A. 64
B. 512
C. 128
D. 256