Solve the system of equations. {:[-4x+7y=20],[y=3x+15],[x=◻],[y=◻]:}

Substitute Equations: Substitute the second equation into the first equation. We have the system of equations: -4x + 7y = 20 y = 3x + 15 Substitute y from the second equation into the first equation to eliminate y and solve for x. -4x + 7(3x + 15) = 20Distribute and Simplify: Distribute 7 into the parentheses. -4x + 7 * 3x + 7 * 15 = 20 -4x + 21x + 105 = 20Combine Like Terms: Combine like terms. -4x + 21x = 17x 17x + 105 = 20Isolate x Term: Subtract 105 from both sides of the equation to isolate the term with x. 17x + 105 - 105 = 20 - 105 17x = -85Solve for x: Divide both sides by 17 to solve for x. 17x / 17 = -85 / 17 x = -5Substitute x into y: Substitute x back into the second equation to solve for y. y = 3x + 15 y = 3(-5) + 15Calculate y Value: Calculate the value of y. y = -15 + 15 y = 0

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Solve the system of equations.
{:[-4x+7y=20],[y=3x+15],[x=◻],[y=◻]:}

Solve the system of equations. $\newline$ $\begin{array}{l} -4 x+7 y=20 \\ y=3 x+15 \\ x=\square \\ y=\square \end{array}$

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Q. Solve the system of equations.

\newline

\begin{array}{l} -4 x+7 y=20 \\ y=3 x+15 \\ x=\square \\ y=\square \end{array}

Substitute Equations: Substitute the second equation into the first equation. $\newline$ We have the system of equations: $\newline$ $-4x + 7y = 20$ $\newline$ $y = 3x + 15$ $\newline$ Substitute $y$ from the second equation into the first equation to eliminate $y$ and solve for $x$ . $\newline$ $-4x + 7(3x + 15) = 20$
Distribute and Simplify: Distribute $7$ into the parentheses. $-4x + 7 \times 3x + 7 \times 15 = 20$ $-4x + 21x + 105 = 20$
Combine Like Terms: Combine like terms. $\newline$ $-4x + 21x = 17x$ $\newline$ $17x + 105 = 20$
Isolate x Term: Subtract $105$ from both sides of the equation to isolate the term with $x$ . $\newline$ $17x + 105 - 105 = 20 - 105$ $\newline$ $17x = -85$
Solve for x: Divide both sides by $17$ to solve for x. $\newline$ $\frac{17x}{17} = \frac{-85}{17}$ $\newline$ $x = -5$
Substitute $x$ into $y$ : Substitute $x$ back into the second equation to solve for $y$ .
$y = 3x + 15$
$y = 3(-5) + 15$
Calculate y Value: Calculate the value of y. $\newline$ y = $-15 + 15$ $\newline$ y = $0$