Question

solve the system of equations.

• 10x + 3y = 5

x = y - 4
x =

y =

Explanation:

Step1: Substitute $x = y - 4$ into first - equation

Substitute $x$ in $-10x + 3y=5$: $-10(y - 4)+3y = 5$.

Step2: Expand the left - hand side

Using the distributive property $a(b - c)=ab - ac$, we get $-10y+40 + 3y=5$.

Step3: Combine like terms

Combine the $y$ terms: $(-10y + 3y)+40=5$, which simplifies to $-7y+40 = 5$.

Step4: Isolate the term with $y$

Subtract 40 from both sides: $-7y=5 - 40$, so $-7y=-35$.

Step5: Solve for $y$

Divide both sides by $-7$: $y=\frac{-35}{-7}=5$.

Step6: Solve for $x$

Substitute $y = 5$ into $x=y - 4$, then $x=5 - 4=1$.

Answer:

$x = 1$
$y = 5$