QUESTION IMAGE
Question
solving a system of equations
find the solution to this system
equation 1: (5x - 2y=-11) (2)
equation 2: (-2x + 5y = 17) (5)
multiplying equation 2 by 5 will create
additive inverses for the (x)-coefficients.
step 2: which is the next step to solve for (y)?
divide by 21 on both sides of the equation
step 3: which is the next step to solve the system of
equations for (x)?
substitute 3 for (y) in one of the equations
step 4: which operation will isolate the (x)-variable term?
both sides of the equation
subtract 5 from
add 6 to
add 11 to
check
intro
done
Step1: Review current equation state
After substituting $y=3$, we have $5x - 6 = -11$.
Step2: Isolate x-term via inverse op
To isolate $5x$, add 6 to both sides:
$5x - 6 + 6 = -11 + 6$
Step3: Simplify to solve for x
$5x = -5$
$\frac{5x}{5} = \frac{-5}{5}$
$x = -1$
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