Use the substitution method to solve the system of equations. y=7x +8 y=x +20

Mathematics

1 answer:

DanielleElmas [232]2 years ago

3 0

Answer:

Step-by-step explanation:

$\left\{\begin{array}{ccc}y=7x+8&(1)\\y=x+20&(2)\end{array}\right\qquad\text{substitute (1) to (2):}\\\\7x+8=x+20\qquad\text{subtract 8 from both sides}\\7x=x+12\qquad\text{subtract x from both sides}\\6x=12\qquad\text{divide both sides by 6}\\x=2\\\\\text{put the value of x to (2):}\\\\y=2+22\\y=22$

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