Solve the system of equations. {:[12 x-5y=-20],[y=x+4],[x=◻],[y=◻]:}

Substitute Equations: Substitute the second equation into the first equation. We have the system of equations: 12x - 5y = -20 y = x + 4 Substitute y from the second equation into the first equation to eliminate y and solve for x. 12x - 5(x + 4) = -20Distribute and Combine Terms: Distribute and combine like terms. 12x - 5x - 20 = -20 Combine like terms: (12x - 5x) - 20 = -20 7x - 20 = -20Solve for x: Solve for x. Add 20 to both sides of the equation to isolate the x term. 7x - 20 + 20 = -20 + 20 7x = 0 Now, divide both sides by 7 to solve for x. x = 0 / 7 x = 0Substitute x to Solve y: Substitute the value of x into the second equation to solve for y. We have x = 0 and the second equation y = x + 4. Substitute x = 0 into the second equation: y = 0 + 4 y = 4

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Solve the system of equations.

{:[12 x-5y=-20],[y=x+4],[x=◻],[y=◻]:}

Solve the system of equations. $\newline$ $\begin{array}{l} 12 x-5 y=-20 \\ y=x+4 \\ x=\square \\ y=\square \end{array}$

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Algebra 1

Solve a system of equations using substitution

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Q. Solve the system of equations.

\newline

\begin{array}{l} 12 x-5 y=-20 \\ y=x+4 \\ x=\square \\ y=\square \end{array}

Substitute Equations: Substitute the second equation into the first equation. $\newline$ We have the system of equations: $\newline$ $12x - 5y = -20$ $\newline$ $y = x + 4$ $\newline$ Substitute $y$ from the second equation into the first equation to eliminate $y$ and solve for $x$ . $\newline$ $12x - 5(x + 4) = -20$
Distribute and Combine Terms: Distribute and combine like terms. $\newline$ $12x - 5x - 20 = -20$ $\newline$ Combine like terms: $\newline$ $(12x - 5x) - 20 = -20$ $\newline$ $7x - 20 = -20$
Solve for x: Solve for x. $\newline$ Add $20$ to both sides of the equation to isolate the $x$ term. $\newline$ $7x - 20 + 20 = -20 + 20$ $\newline$ $7x = 0$ $\newline$ Now, divide both sides by $7$ to solve for $x$ . $\newline$ $x = 0 / 7$ $\newline$ $x = 0$
Substitute $x$ to Solve $y$ : Substitute the value of $x$ into the second equation to solve for $y$ . We have $x = 0$ and the second equation $y = x + 4$ . Substitute $x = 0$ into the second equation: $y = 0 + 4$ $y = 4$