To estimate the solution to the linear equations y=5x+10 and y=-12x+3 based on their graphs, we need to determine the point at which they intersect.
By setting the two equations equal to each other, we get:
5x + 10 = -12x + 3
Rearranging and combining like terms:
17x = -7
x = -7/17
Substituting this value of x back into either of the original equations, we can find the corresponding y-value.
Using the first equation y=5x+10:
y = 5*(-7/17) + 10
y ≈ 5.41
Therefore, the estimated solution to the system of linear equations y=5x+10 and y=-12x+3 is (approximately) x = -7/17 and y ≈ 5.41.
Estimate the solution to the of these liner equations based on the graph y=5x+10 and y=-12x+3
1 answer
1 answer