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use substitution to solve the system of equations. y = 7 - x x + 2y = 1…

Question

use substitution to solve the system of equations.
y = 7 - x
x + 2y = 12 \
ightarrow x + 2(7 - x) = 12
next, you can find the value of x.
simplify.
x + 2(7 - x) = 12
x + 14 - x = 12
14 - x = 12
14 - 2x = 27 - x
27 - 2x =
use
tet
tive property. multiply each
thes by 2.

Explanation:

Step1: Expand the parentheses

$x + 2(7 - x) = x + 14 - 2x = 12$

Step2: Combine like terms

$14 - x = 12$

Step3: Solve for $x$

$x = 14 - 12 = 2$

Step4: Find $y$ using $y=7-x$

$y = 7 - 2 = 5$

Answer:

$x=2$, $y=5$