What is the solution of the system? {5x−y=−21 x+y=−3 Enter your answer in the boxes. (( , )
Answers
Answer:
The solution of the given system of equation is (-4, 1)
Step-by-step explanation:
Given system of equation 5x− y = −21 and x+y= −3
We have to find the solution of the given system of equation.
Consider the
Given system of equation
5x− y = −21 .......(1)
x + y = −3 .......(2)
Adding (1) and (2) , we have,
⇒ 5x - y + (x + y ) = -21 + (-3 )
⇒ 5x - y + x + y = -21 - 3
⇒ 5x + x = -24
⇒ 6x = -24
⇒ x = -4
Substitute x = -4 in (2) , we get,
x + y = −3 ⇒ (-4) + y = −3 ⇒ y = -3 + 4 ⇒ y = 1
Thus, the solution of the given system of equation is (-4, 1)
y = 5x + 21
Substituting into:
x + y = -3
x + 5x + 21 = -3
6x = -24
x = -4
y = 5(-4) + 21
y = 1
Solution: (-4,1)
Related Questions
Convert 0.14 kilograms to grams
Solve for x and y simultaneously: X-2y=3 4xsquared-5xy+6y=3
Which equation is represented by the table?x y (x, y)0 –1 (0, –1)1 4 (1, 4)2 9 (2, 9)A.y = 5x – 1B.y = –3x + 3C.y = 3x – 4D.y = 3x + 3
An angle bisector of a triangle divides the opposite side of the triangle into segments 5 cm and 4 cm long. A second side of the triangle is 5.4 cm long. Find the longest and shortest possible lengths of the third side of the triangle.
3/50
1/15
3/100
1/10
Answers
Answer:
The probability of given event =
Step-by-step explanation:
Ten slips of paper labeled from 1 to 10 are placed in a hat. The first slip of paper is not replaced before selecting the second slip of paper.
We have to find the probability of selecting a number less than 3 and then a number greater than 4.
Probability of an event =
The probability of selecting number less than 3 = =
The probability of selecting number greater than 4 = =
Total probability = =
7 + x - 15 = 2 2/3
Answers
7+x-15=2 2/3
+15 +15
7+x=17 2/3
-7 -7
x= 10 2/3
Hope I helped
Step 1: Simplify both sides of the equation.
x−8=8/3
Step 2: Add 8 to both sides
.x−8+8=8/3+8x=32/3
Answer:x=10 2/3
Answers
9 x .6 = 5.4
January February March April May June
Acutal 120 140 150 140 150 130
Predicted 80 150 110 150 110 150
Residual 40 −10 40 −10 40 −20
Analyze the data. Determine whether the equation that produced the predicted values represents a good line of best fit.
No, the equation is not a good fit because the residuals are all far from zero.
No, the equation is not a good fit because the sum of the residuals is a large number.
Yes, the equation is a good fit because the residuals are not all far from zero.
Yes, the equation is a good fit because the sum of the residuals is a small number.
Answers
The equation that produced these predicted values is not a good fit given that the sum of the residuals is a large number.
What is the sum of the residuals in a regression equation?
The sum of the residuals in a regression is a value that is always supposed to be almost equal to zero in a regression analysis.
The residual tells us that the error term has been reduced to the minimum in the regression analysis.
Read more on a regression analysis here:
#SPJ5
Answers
y = 3x + 5
3x - y = 5
Answers
Answer:
Step-by-step explanation:
Substitute our first equation into the second equation. We are given y, so this is ideal of substitution method.
y = 3x + 5
3x - y = 5
3x - (3x + 5) = 5
3x - 3x - 5 = 5
-5 = 5
There is no solution for the system because after solving, the sides of the equation are not equal. We can further check this by writing the second equation in a "y = mx + b form, or slope-intercept form. This well tell use about the graphs of the equations.
3x - y = 5
-y = -3x + 5
y = 3x -5
When comparing with the first equation, we can see that the slope is 3 for both lines, but the y-intercept is different. This means we have two parallel lines that cross the y-axis at (0, 5) and (0, -5). From this, one can conclude there is no solution because parallel lines with different y-intercepts will never cross.