Find the solution to the system of equations by substitution.
-$$\begin{array} { l }
y = - 4 x + 26 \
y = - \frac { 1 } { 2 } x + 5
\end{array}$$
A)(6, 2)
B)(2, 6)
C)infinite number of solutions
D)no solution

Question

Find the solution to the system of equations by substitution.
-$$\begin{array} { l } 
y = - 4 x + 26 \
y = - \frac { 1 } { 2 } x + 5
\end{array}$$
A)(6, 2)
B)(2, 6)
C)infinite number of solutions
D)no solution

Quizplus · Accepted Answer

To find the solution, set the equations equal to each other: $-4x + 26 = -\frac{1}{2}x + 5$. Solving for $x$, we get $x = 6$. Substitute $x = 6$ into either equation to find $y = 2$. Thus, the solution is (6, 2).

Find the Solution to the System of Equations by Substitution y=−4x+26y=−12x+5\begin{array} { l } y = - 4 x + 26 \\y = - \frac { 1 } { 2 } x + 5\end{array}y=−4x+26y=−21​x+5​

Find the Solution to the System of Equations by Substitution $\begin{array} { l } y = - 4 x + 26 \\y = - \frac { 1 } { 2 } x + 5\end{array}$