Solving Systems of Equations by substitution
-5x-8y=17
2x-7y=-17

Answers

Answer 1

Answer: $\left\{\begin{array}{ccc}-5x-8y=17\n2x-7y=-17\end{array}\right\n\left\{\begin{array}{ccc}-5x=8y+17&/\cdot(-2)\n2x-7y=-17&/\cdot5\end{array}\right\n\n\left\{\begin{array}{ccc}10x=-16y-34\n10x-35y=-85\end{array}\right\n\nsubstitute:\n\n-16y-34-35y=-85\n-51y=-85+34\n-51y=-51\ \ \ \ /:(-51)\ny=1\n\n10x=-16\cdot1-34\n10x=-50\ \ \ \ /:10\nx=-5\n\nSolution:x=-5\ and\ y=1$

Answer 2

Answer: $-5x=17+8y \n x= - (17+8y)/(5) \n 2x-7y=-17 \n 2* (17+8y)/(5) -7y=-17 \n (34+16y)/(5) -7y=-17 \ we \ bring \ to \ the \ same \ denominator \ \n34+16y-35y=-85 \n -19y=-85-34 \n 19y=119 \n y= (119)/(19) \n x= -( 17+ 8* (119)/(19) )/(5) \n x= - ( 17 + (952)/(19) )/(5) \n x= - ( (323+952)/(19))/(5) \n x= -( (1275)/(19) )/(5) \n x= -(1275)/(19) * (1)/(5) \n x= -(255)/(19)$

Related Questions

The numerical factor of a term. In 5x, the 5 is the coefficient.Identities Origin Exponent Coefficient
Miles is planning to spend 2/3 as many hrs bicycling this week as he did last week. Is Miles going to spend more hrs or fewer hrs bicycling this week than last week? ( I'm working on comparing fraction factors and products- multiplying fractions)
What is the area of this rectangle in square yards?
Ob saysber ofers have12. Higher Order Thinking Find all thefactors of 38, 39, and 40. Do they haveany factors in common? Explain how youcan tell if some numbers have factors incommon without finding the factors.
What is the equivalent decimal of 1 3/4

What expression represents the sum of (2x-5y) and (x+y)

Answers

Equation: (2x-5y) + (x+y)
Add x terms together: 2x + x=3x
Add y terms together: -5y + y=-4y
Simplify: 3x-4y

Final Answer: 3x-4y

Graph the quadratic function f(x)=-2x^2+6x-2

Answers

Answer:

Step-by-step explanation:

Erin has $52 to spend at the florist. She wants to buy a vase for $11.75 and several roses for $3.50 each. What are the possible numbers of roses Erin can buy?

Answers

Answer:

12 roses

Step-by-step explanation:

$52 to spend at the florist

a vase for $11.75

roses for $3.50 each

Calculating how much left after buying the vase:

$52 - $11.75 = $40.25

To Know the possible numbers of roses Erin can buy, divide:

$40.25 ÷$3.50 = 11,75, roundind 12 roses

Final answer:

Erin can buy 11 roses.

Explanation:

To find the possible numbers of roses Erin can buy, we need to subtract the cost of the vase from the total amount of money she has. Erin has $52 to spend and the vase costs $11.75, so she will have $52 - $11.75 = $40.25 left to spend on roses. The cost of each rose is $3.50, so the possible numbers of roses Erin can buy is $40.25 ÷ $3.50 = 11 roses.

Therefore, the answer is 11 roses.

Learn more about possible numbers of roses Erin can buy here:

brainly.com/question/31631323

#SPJ11

Work out the value of 3c - 4d when c = 5 and d = 1 over 2 ( 1 and a half )Please help me out with this one , thanks! From my maths homework , could you please show working out as well please?