Question

Find the solution for the system of linear equations by substitution: y = 3x + 4 and y = x + 2.

Answer 1

Explanation:

y = 3x + 4, and

y = x + 2

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Use the vale of y in the 2nd equation in the first:

y = 3x + 4

x + 2 = 3x + 4

-2x = 2

x = -1

Use this value of x (-1) in either equation to find y:

y = x + 2

y = -1 + 2

y = 1

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(-1,1)

See attached graph.