Solve the system of equations using SUBSTITUTION. {:[y=2x+5],[y=x+7]:}

Set Equations Equal: Since both equations are equal to y, we can set them equal to each other: 2x + 5 = x + 7.Isolate Terms with x: Subtract x from both sides to isolate terms with x on one side: 2x - x + 5 = 7.Combine Like Terms: Simplify the equation by combining like terms: x + 5 = 7.Solve for x: Subtract 5 from both sides to solve for x: x = 7 - 5.Calculate x Value: Calculate the value of x: x = 2.Substitute x Value: Substitute x = 2 into one of the original equations to find y. We'll use y = 2x + 5: y = 2(2) + 5.Calculate y Value: Calculate the value of y: y = 4 + 5.Simplify to Find y: Simplify to find the value of y: y = 9.

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Solve the system of equations using SUBSTITUTION.

{:[y=2x+5],[y=x+7]:}

Solve the system of equations using SUBSTITUTION. $\newline$ $\begin{array}{l} y=2 x+5 \\ y=x+7 \end{array}$

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Algebra 2

Solve a system of equations using substitution

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Q. Solve the system of equations using SUBSTITUTION.

\newline

\begin{array}{l} y=2 x+5 \\ y=x+7 \end{array}

Set Equations Equal: Since both equations are equal to $y$ , we can set them equal to each other: $2x + 5 = x + 7$ .
Isolate Terms with x: Subtract $x$ from both sides to isolate terms with $x$ on one side: $2x - x + 5 = 7$ .
Combine Like Terms: Simplify the equation by combining like terms: $x + 5 = 7$ .
Solve for x: Subtract $5$ from both sides to solve for x: $x = 7 - 5$ .
Calculate x Value: Calculate the value of x: $x = 2$ .
Substitute $x$ Value: Substitute $x = 2$ into one of the original equations to find $y$ . We'll use $y = 2x + 5$ : $y = 2(2) + 5$ .
Calculate y Value: Calculate the value of y: $y = 4 + 5$ .
Simplify to Find y: Simplify to find the value of $y$ : $y = 9$ .