Question

y=5x+10


y=−2x+3
Estimate the solution to the system of these linear equations
show steps

Answer 1

To estimate the solution to the system of linear equations y=5x+10 and y=-2x+3, we can set the two equations equal to each other:

5x + 10 = -2x + 3

Now, we can solve for x:

5x + 2x = 3 - 10
7x = -7
x = -1

Now that we have found x, we can plug it back into one of the original equations to find y:

y = 5(-1) + 10
y = -5 + 10
y = 5

Therefore, the estimated solution to the system of linear equations y=5x+10 and y=-2x+3 is x = -1 and y = 5.