Solve the system of equations using any method.

Enter your answer as a coordinate pair:

Ask by Burton Cox. in the United States

Mar 31,2025

Question

Solve the system of equations using any method. $$ 7 x-3 y=-2 $$ $$ 7 x+21 y=70 $$ Enter your answer as a coordinate pair: $$ (\square $$

UpStudy AI · Accepted Answer

We are given the system:
$$
7x-3y=-2
$$
$$
7x+21y=70
$$

**Step 1. Subtract the first equation from the second to eliminate $$ x $$:**

Subtract:
$$
(7x+21y) - (7x-3y) = 70 - (-2)
$$
Simplify the left-hand side:
$$
7x + 21y - 7x + 3y = 24y
$$
Simplify the right-hand side:
$$
70 + 2 = 72
$$
Thus, we have:
$$
24y = 72
$$

**Step 2. Solve for $$ y $$:**

Divide both sides by 24:
$$
y = \frac{72}{24} = 3
$$

**Step 3. Substitute $$ y=3 $$ into one of the original equations to solve for $$ x $$:**

Using 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 $$ (1,3) $$.
The solution is $$ (1, 3) $$.

Solve the system of equations using any method.

Enter your answer as a coordinate pair:

Upstudy AI Solution

Answer

Solution

Extra Insights

Related Questions

Latest Algebra Questions

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