Question 1
Use elimination to solve the system of equations.

Ask by Pritchard Nichols. in the United States

Mar 24,2025

Question

Question 1 Use elimination to solve the system of equations. $$ -2 x+3 y=48 $$ $$ 7 x+3 y=21 $$

UpStudy AI · Accepted Answer

1. Write the system of equations:
   $$
   -2x+3y=48
   $$
   $$
   7x+3y=21
   $$

2. Since the coefficients of $$ y $$ are the same in both equations, subtract the first equation from the second to eliminate $$ y $$:
   $$
   (7x+3y)-(-2x+3y)=21-48
   $$
   $$
   7x+3y+2x-3y=-27
   $$
   $$
   9x=-27
   $$

3. Solve for $$ x $$:
   $$
   x=\frac{-27}{9}=-3
   $$

4. Substitute $$ x=-3 $$ into the first equation to solve for $$ y $$:
   $$
   -2(-3)+3y=48
   $$
   $$
   6+3y=48
   $$
   $$
   3y=48-6=42
   $$
   $$
   y=\frac{42}{3}=14
   $$

5. The solution to the system is:
   $$
   x=-3,\quad y=14
   $$
The solution to the system is $$ x = -3 $$ and $$ y = 14 $$.

Question 1
Use elimination to solve the system of equations.

Solución de inteligencia artificial de Upstudy

Responder

Solución

Beyond the Answer

preguntas relacionadas

Latest Algebra Questions