# Answer to Question #12658 in Analytic Geometry for RYAN

Question #12658

What is the common point between lines y = -x + 7 and y = 3x + 10?

Expert's answer

To find common point we should equate the expressions in the right parts:

& -x + 7 = 3x + 10

+x & +x

7=4x+10

-10 -10

-3=4x

whence x=-3/4

Corresponding value of y we can find by substituting obtained x=-3/4 into any of the equations:

y=-(-3/4)+7=3/4+7=31/4

& -x + 7 = 3x + 10

+x & +x

7=4x+10

-10 -10

-3=4x

whence x=-3/4

Corresponding value of y we can find by substituting obtained x=-3/4 into any of the equations:

y=-(-3/4)+7=3/4+7=31/4

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