CPM Homework Help : A2C Problem 13-50

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Home > A2C > Chapter 13 > Lesson 13.1.3 > Problem 13-50

13-50.

Solve each system.

$\frac { x } { 2 } + \frac { y } { 4 } = 4 \\ \frac { x } { 4 } - \frac { 3 y } { 8 } = - 2$
Hint (a):
Eliminate the denominators by
multiplying before trying to solve.
More Help (a):
$2x + y = 16$
$2x − 3y = −16$
Answer (a):
$\left(4, 8\right)$

$x + 2y + z = −1 \\4x − y − z = −1\\ −3y = 2z$
Hint (b):
Solve the last equation for $z$ in terms of $y$ , then substitute into the other two equations to find $x$ and $y$ . Use those values to find $z$ .

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