Question

Which description best describes the solution to the following system of equations?

y = −one halfx + 9
y = x + 7

Lines y = −one halfx + 9 and y = x + 7 intersect the x-axis.
Lines y = −one halfx + 9 and y = x + 7 intersect the y-axis.
Line y = −one halfx + 9 intersects the origin.
Line y = −one halfx + 9 intersects line y = x + 7.

Answer 1

y=-x/2+9
y=x+7
If we solve this system of equations, we can find the solution to the following system of equation.
we can solve this system of equation by equalization method.
-x/2+9=x+7
lowest common multiplo=2
-x+18=2x+14
-3x=-4
x=-4/-3=4/3

y=x+7=4/3  + 7=(4+7*3)/3=25/3

The solution is (4/3, 25/.3)

answer: Line y=-x/2+9 intersects line y =x+7