Solve each system by substitution
5x + 7y = -23
y = -2x - 11

x = −6

Explanation:

5x + 7y = -23

Y = -2x - 11

Substitute -2x - 11 for y in 5x + 7y = -23

5x + 7(−2x − 11) = −23

Simplify both sides of the equation

5x + 7(−2x − 11) = −23

5x + (7)(−2x ) + (7)(−11) = −23 (Distribute)

5x + −14x + −77 = −23

(5x + −14x) + (−77) = −23 (Combine Like Terms)

−9x + −77 = −23

−9x − 77 = −23

Add 77 to both sides

−9x − 77 + 77 = −23 + 77

−9x = 54

Divide both sides by -9

−9x / -9 = 54 / -9

x = -6

a function could be identified in 3 ways either on a chart,graph, or ordered pairs. first a function is that each point has its own. the rule is that there can be many x's to one y but there can not be 2 x's at different y's. so on a graph when you put a straight line through the y's there should be one dot only to be a function.

step-by-step explanation:

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