# 1. Solve the following system of equations using elimination. 5x+y=24 -5x-4y=-56 Solve for y: Solve for x

Question
Equations and inequalities
1.
Solve the following system of equations using elimination.
5x+y=24
-5x-4y=-56
Solve for y:
Solve for x

2021-01-05
5x+y=24---1
-5x-4y=-56---2
X=?
Y=?
Adding equation 1 & 2
(5x+y)+(-5x-4y)=24+(-56)
-3y=-32
$$\displaystyle{Y}=\frac{{32}}{{3}}$$
Substitute the value of y in 1st eq
5x+y=24
$$\displaystyle{5}{x}+{\left(\frac{{32}}{{3}}\right)}={24}$$
$$\displaystyle{5}{x}={24}-\frac{{32}}{{3}}=\frac{{40}}{{3}}$$
$$\displaystyle{X}=\frac{{8}}{{3}}$$

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