A system of equations is graphed on the coordinate plane. y=−6x−3y=−x+2 What is the solution to the system of equations? Enter the coordinates of the solution in the boxes. ( , ) A graph of the system of equations y equals negative 6 x minus 3 and y equals negative x plus 2.
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Answers
Answered by
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If you equate both, the y is eliminated:
-6x-3 = -x+2
Simplify this to find x:
-5x = 5
x = -1
Fill in x=-1 in either equation:
y = --1 + 2 = 3
So (-1,3) is the solution, it is where the lines intercept.
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Answered by
0
Answer:
(-1, 3)
Step-by-step explanation:
We are given with two linear equations.
y = -6x - 3 .............(1)
y = -x + 2 .............(2)
equating both the equations, we get:
-6x - 3 = -x + 2
- 5x = 5
x = -1
putting the value of x in any of above equations to get y, we get,
y = 3
Therefore, the lines intercept at (-1, 3)
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