Question

Solve the following system of equations.x-9y=-135x+3y=-15

Equations
ANSWERED
asked 2021-04-25

Solve the following system of equations.
\(x-9y=-13\)
\(5x+3y=-15\)

Answers (1)

2021-04-27

Step 1
The equations are given by,
\(x-9y=-13\)...(1)
\(5x+3y=-15\)...(2)
Step 2
Multiply the equation (1) by 5 and subtract with equation (2) as follows.
\(5x-45y=-65\)
\(5x+3y=-15\)
\(-48y=-50\)
\(\displaystyle{y}={\frac{{{50}}}{{{48}}}}\)
\(\displaystyle{y}={\frac{{{25}}}{{{24}}}}\)
Substitute \(\displaystyle{y}={\frac{{{25}}}{{{24}}}}\) in equation (1).
\(\displaystyle{x}-{9}{\left({\frac{{{25}}}{{{24}}}}\right)}=-{13}\)
\(\displaystyle{x}-{\frac{{{225}}}{{{24}}}}=-{13}\)
\(\displaystyle{x}=-{13}+{\frac{{{225}}}{{{24}}}}\)
\(\displaystyle{x}=-{\frac{{{87}}}{{{24}}}}\)
\(\displaystyle{x}=-{\frac{{{29}}}{{{8}}}}\)
The solution of the system f equations are \(\displaystyle{x}=-{\frac{{{29}}}{{{8}}}},{y}={\frac{{{25}}}{{{24}}}}\).

0
 
Best answer

expert advice

Need a better answer?
...