Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

solving a system of equations find the solution to this system equation…

Question

solving a system of equations
find the solution to this system
equation 1: $5x - 2y = -11$ (2)
equation 2: $-2x + 5y = 17$ (5)
inverses, equation 1 can be multiplied by
multiplying equation 2 by will create
additive inverses for the x - coefficients.
step 2: which is the next step to solve for y?
both sides of the equation.
step 3: which is the next step to solve the system of
equations for x?
subtract 3 from both equations.
divide both equations by 3.
substitute 3 for y in one of the equations

Explanation:

Step1: Confirm y value

From the right panel, we solve $21y=63$, so $y=\frac{63}{21}=3$.

Step2: Solve for x

We know $y=3$, so substitute this value into either original equation (e.g., $5x-2y=-11$) to solve for x. This is the required next step.

Answer:

Substitute 3 for y in one of the equations.