Question

solving a system of linear equations using substitution
solve this system of equations using substitution
( y = 2x - 4 )
( x + 2y = 10 )
variable term the left side? x and 4x
step 4: which step isolates the variable term on the left\tside?
add 8
step 5: which step isolates the variable term on the left\tside?
divide by 5
step 6: to solve for y, substitute 3.6 for x in the\tequation.
first
second
check
( x + 2(2x - 4) = 10 )
( x + 4x - 8 = 10 )
( 5x - 8 = 10 )
( quad + 8 quad + 8 )
( 5x = 18 )
( x = 3.6 )

Explanation:

Step1: Identify substitution equation

The first equation $y=2x-4$ is already solved for $y$, so this is the equation to use for substitution.

Step2: Confirm variable isolation steps

To isolate $5x$, we add 8 to both sides: $5x - 8 + 8 = 10 + 8$ → $5x=18$. Then divide by 5: $\frac{5x}{5}=\frac{18}{5}$ → $x=3.6$.

Step3: Choose substitution equation

To solve for $y$, substitute $x=3.6$ into the equation that already defines $y$ in terms of $x$, which is the first equation.

Answer:

first