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SAT Math: System of Equations 2

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1. $2x+2y=6$

$12=2y-x$

$(0,6)$

$(0,3)$

$(-2,5)$

$(5,1)$

2. $\dfrac{3}{2} x+y=3$

$7= \dfrac{1}{2} y-2x$

$(-2,6)$

$(5,-2)$

$(0,3)$

$(0,14)$

3. $6x+y= \dfrac{5}{2} x+2y$

$4= \dfrac{4}{3} y-4x$

$(-1,0)$

$(8,19)$

$(0,0)$

$(6,21)$

4. $4x+y=-3$

$\dfrac{3}{2} y+x=5$

$(- \dfrac{2}{3} , \dfrac{5}{6})$

$(-5,6)$

$(- \dfrac{19}{10} , \dfrac{23}{5})$

$(- \dfrac{16}{3} , \dfrac{25}{3})$

5. $4x+a=6x-4$

$4y+b=6y-4$

In the equations above, $a$ and $b$ are constants. If $a$ is $b- \dfrac{1}{2}$ , which of the following is true?

$x$ is $y- \dfrac{1}{4}$

$x$ is $y- \dfrac{1}{2}$

$x$ is $y- \dfrac{7}{2}$

$x$ is $y-1$

6. If $15+2x=27$ , what is the value of $7x$ ?

$36$

$42$

$56$

$63$

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