x = -2 and y = -5
Explanation: Solve by using the process of elimination.
Step: Solve−1.5x+0.3y=1.5
Solving for x = −1.5x+0.3y+−0.3y=1.5+−0.3y *Add -0.3y to both sides*
−1.5x=−0.3y+1.5
−1.5x−1.5=−0.3y+1.5−1.5 *Divide both sides by -1.5*
x=0.2y−1
Step: Substitute 0.2y−1 for x in 1.8x+0.9y=−8.1:
1.8x+0.9y=−8.1
1.8(0.2y−1)+0.9y=−8.1
1.26y−1.8=−8.1 *Simplify both sides of the equation*
1.26y−1.8+1.8=−8.1+1.8(Add 1.8 to both sides)
1.26y=−6.3
1.26y1.26=−6.31.26 *Divide both sides by 1.26*
y=−5
Step: Substitute −5 for yi n x=0.2y−1:
x=0.2y−1
x=(0.2)(−5)−1
x=−2 *Simplify both sides of the equation*