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KATRIN_1 [288]
3 years ago
14

Solve. y=x - 7 5+2y=7

Mathematics
2 answers:
lesantik [10]3 years ago
8 0

Answer:

\huge\boxed{x=8;\ y=1\to(8;\ 1)}

Step-by-step explanation:

\left\{\begin{array}{ccc}y=x-7&(1)\\5+2y=7&(2)\end{array}\right\\\\\text{Substitute (1) to (2) and solve for x:}\\\\5+2(x-7)=7\qquad\text{use the distributive property}\\\\5+(2)(x)+(2)(-7)=7\\\\5+2x-14=7\\\\2x+(5-14)=7\\\\2x-9=7\qquad\text{add 9 to both sides}\\\\2x-9+9=7+9\\\\2x=16\qquad\text{divide both sides by 2}\\\\\dfrac{2x}{2}=\dfrac{16}{2}\\\\\boxed{x=8}

\text{Substitute it to (1):}\\\\y=8-7\\\\\boxed{y=1}

Illusion [34]3 years ago
4 0

Answer:

(8, 1).

Step-by-step explanation:

y = x - 7

5 + 2y = 7

5 + 2(y) = 7

5 + 2(x - 7) = 7

5 + 2x - 14 = 7

Subtract 5 from both sides

2x - 14 = 2

Add 14 to both sides

2x = 16

Divide both sides by 2

x = 8

Since x = 8...

y = x - 7

y = 8 - 7

y = 1.

To check our work...

5 + 2y = 7

5 + 2 * 1 = 7

5 + 2 = 7

7 = 7

Since it works out, your answer is (8, 1).

Hope this helps!

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