Solve the system of equations: 10x − 12y = 14 and 2x − 7y = −11.

Step 4: Subtract Equation 4 from Equation 3 to eliminate x. (10x − 12y) − (10x − 35y) = 14 − (−55); 10x − 12y − 10x + 35y = 14 + 55; 23y = 69 Step 5: Solve for y. y = 69/23; y = 3 The final answer is D. 3.

Solve the system of equations: 10x − 12y = 14 and 2x − 7y = −11.

Step 4: Subtract Equation 4 from Equation 3 to eliminate x. (10x − 12y) − (10x − 35y) = 14 − (−55); 10x − 12y − 10x + 35y = 14 + 55; 23y = 69 Step 5: Solve for y. y = 69/23; y = 3 The final answer is D. 3.

Solved: Solve the system of equations: 10x − 12y = 14 and…

Subtract Equation 4 from Equation 3 to eliminate $x$ .
$(10x - 12y) - (10x - 35y) = 14 - (-55)$ $10x - 12y - 10x + 35y = 14 + 55$ $23y = 69$
Solve for $y$ .
$y = \frac{69}{23}$ $y = 3$
The final answer is $\text{D. } 3$ .

Solve the system of equations: 10x − 12y = 14 and 2x - 7y = -11.

Answer

Step-by-step solution

Subtract Equation 4 from Equation 3 to eliminate $x$ .

Solve for $y$ .

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