Answer:
x = 3
y = 2
Step-by-step explanation:
4x + 3(3x - 7) = 18 Substitute y
4x + 9x - 21 = 18 Simply
13x - 21 = 18 Add like terms
13x = 39 Add 21
x = 3 Divide by 13
y = 3(3) - 7 Substitute x
y = 9 - 7 Simply
y = 2 Subtract
Let's check:
4(3) + 3(2) = 18
12 + 6 = 18
18 = 18
It works!
Answer:
[tex]\huge\boxed{x=3,\ y=2\to(3,\ 2)}[/tex]
Step-by-step explanation:
[tex]\left\{\begin{array}{ccc}y=3x-7&(1)\\4x+3y=18&(2)\end{array}\right\\\\\text{Substitute (1) to (2):}\\\\4x+3(3x-7)=18\qquad\text{use the distributive property}\\\\4x+(3)(3x)+(3)(-7)=18\\\\4x+9x-21=18\qquad\text{add 21 to both sides}\\\\4x+9x-21+21=18+21\qquad\text{cobine like terms}\\\\13x=39\qquad\text{divide both sides by 13}\\\\\dfrac{13x}{13}=\dfrac{39}{13}\\\\\boxed{x=3}\\\\\text{Substitute it to (1):}\\\\y=3(3)-7\\\\y=9-7\\\\\boxed{y=2}[/tex]
