Question

Solve the system of linear equations by graphing. y−x=17 y=4x+2

Answer 1

Answer:

x = 5, y = 22 → (5, 22)

Step-by-step explanation:

$\left\{\begin{array}{ccc}y-x=17&(1)\\y=4x+2&(2)\end{array}\right\\\\\\\text{substitute (2) to (1):}\\\\(4x+2)-x=17\qquad\text{combine like terms}\\\\(4x-x)+2=17\qquad\text{subtract 2 from both isdes}\\\\3x+2-2=17-2\\\\3x=15\qquad\text{divide both sides by 3}\\\\\dfrac{3x}{3}=\dfrac{15}{3}\\\\x=5$

$\text{Put the value of x to (2):}\\\\y=4(5)+2\\\\y=20+2\\\\y=22$

Answer 2

Answer:

x=5, y=22. (5, 22).

Step-by-step explanation:

y-x=17

y=4x+2

----------

4x+2-x=17

3x+2=17

3x=17-2

3x=15

x=15/3

x=5

y-5=17

y=17+5

y=22