Solve the system of equations using any method.

Enter your answer as a coordinaté pair:

Ask by Savage Beck. in the United States

Mar 31,2025

Question

Solve the system of equations using any method. $$ \begin{array}{l}7 x-3 y=-2 \ 7 x+21 y=70\end{array} $$ Enter your answer as a coordinaté pair:

UpStudy AI · Accepted Answer

Given the system
$$
7x - 3y = -2
$$
$$
7x + 21y = 70
$$

1. Subtract the first equation from the second to eliminate $$x$$:
   $$
   (7x + 21y) - (7x - 3y) = 70 - (-2)
   $$
   Simplify the left-hand side:
   $$
   7x + 21y - 7x + 3y = 24y
   $$
   and the right-hand side:
   $$
   70 + 2 = 72
   $$
   Thus, we have:
   $$
   24y = 72
   $$
   
2. Solve for $$y$$:
   $$
   y = \frac{72}{24} = 3
   $$

3. Substitute $$y = 3$$ into the first equation:
   $$
   7x - 3(3) = -2
   $$
   Simplify:
   $$
   7x - 9 = -2
   $$
   Add 9 to both sides:
   $$
   7x = 7
   $$
   Divide by 7:
   $$
   x = 1
   $$

The solution to the system is the coordinate pair $$(1, 3)$$.
The solution is the coordinate pair $$(1, 3)$$.

Solve the system of equations using any method.

Enter your answer as a coordinaté pair:

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Solve the system of equations using any method. Enter your answer as a coordinaté pair: