9 March, 09:04

# Which description best describes the solution to the following system of equations?y = - one halfx + 9y = x + 7Lines 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.

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Answers (1)
1. 9 March, 09:40
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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
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