Answer:
y = -1.5
x = 2/3
Step-by-step explanation:
Step 1. Multiply to eliminate x and solve for y
3(3x - 4y = 8)
9x + 5y = -1.5
Step 2. Eliminate
9x - 12y = 24
- 9x + 5y = -1.5
--------------------------
-17y = 25.5
y = -1.5
Step 3. Re-plug in and solve for x.
9x - 12(-1.5) = 24
9x + 18 = 24
9x = 6
x = 2/3
Answer:
x = [tex]\frac{2}{3} [/tex] , y = - [tex]\frac{3}{2} [/tex]
Step-by-step explanation:
3x - 4y = 8 → (1)
9x + 5y = - 1.5 → (2)
Multiplying (1) by - 3 and adding to (2) will eliminate the x- term
- 9x + 12y = - 24 → (3)
add (2) and (3) term by term to eliminate x
0 + 17y = - 25.5
17y = - 25.5 ( divide both sides by 17 )
y = [tex]\frac{-25.5}{17} [/tex] = - [tex]\frac{3}{2} [/tex]
substitute this value into either of the 2 equations and solve for x
Substituting into (2)
9x + 5(- [tex]\frac{3}{2} [/tex] ) = - 1.5
9x - [tex]\frac{15}{2} [/tex] = - [tex]\frac{3}{2} [/tex] ( add [tex]\frac{15}{2} [/tex] to both sides )
9x = [tex]\frac{12}{2} [/tex] = 6 ( divide both sides by 9 )
x = [tex]\frac{6}{9} [/tex] = [tex]\frac{2}{3} [/tex]
