Question

solving a system of equations
find the solution to this system:
equation 1: $5x - 2y = -11$ (2)
equation 2: $-2x + 5y = 17$ (5)
step 1: to create x - coefficients that are additive inverses,
equation 1 can be multiplied by 2
multiplying equation 2 by 5 will create additive
inverses for the x - coefficients
step 2: which is the next step to solve for y?
both sides of the equation.
subtract 21 from
subtract 63 from
divide by 21 on

Explanation:

Step1: Analyze the derived equation

After combining the transformed equations, we get $21y = 63$.

Step2: Isolate $y$

To solve for $y$, we need to divide both sides by the coefficient of $y$, which is 21.
Expression: $\frac{21y}{21} = \frac{63}{21}$

Step3: Calculate the value of $y$

Simplify the equation to find $y$.
Expression: $y = 3$

Answer:

Divide by 21 on
$y=3$