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If x = -2 is a solution to the systems shown below, then which of the following must be the value of m? (Hint, substitute to find y, then substitute again to find m)

y = 4x+ 10
y = mx - 4

overthinking for nooo reason ​

Sagot :

If x = -2 satisfies the system, then

y = 4x + 10 = 4(-2) + 10 = -8 + 10 = 2

so that

y = mx - 4   ⇒   2 = -2m - 4

Solve for m :

2 = -2m - 4   ⇒   2m = -6   ⇒   m = -3