Question

1. the sum of two times x and 3 times y is 5. the difference of x and y is 5. write two equations and graph to find the value of y.

y = 2
y = -1
y = -2
y = 4

Explanation:

Step1: Translate to equations

$2x + 3y = 5$
$x - y = 5$

Step2: Isolate x from 2nd equation

$x = y + 5$

Step3: Substitute x into 1st equation

$2(y + 5) + 3y = 5$

Step4: Simplify and solve for y

$2y + 10 + 3y = 5$
$5y = 5 - 10$
$5y = -5$
$y = \frac{-5}{5} = -1$

Answer:

$\boldsymbol{y=-1}$ (Option: y = -1)