Answer:
x=4 y=-3
Step-by-step explanation:
I will solve your system by substitution.
(You can also solve this system by elimination.)
x−2y=10 ; 6x+3y=15
Step: Solve x −2y= 10for x:
<em>x − 2y + 2y = 10 + 2y</em><em> </em>(Add 2y to both sides)
<em>x=2y+10</em>
Step: Substitute 2y+10 forx in 6x+3y=15:
<em>6x+3y=15</em>
<em>6x+3y=156(2y+10)+3y=15</em>
<em>15y</em><em>+</em><em>60</em><em>=</em><em>15</em><em> </em>(Simplify both sides of the equation)
<em>15y+60+−60=15+−60</em><em> </em>(Add -60 to both sides)
15y=−45
<em>15y</em><em>/</em><em>15=−45</em><em>/</em><em>15</em>(Divide both sides by 15)
y=−3
Step: Substitute −3 for y inx=2y+10:
x=2y+10
x=(2)(−3)+10
x=4(Simplify both sides of the equation)
Answer:
x=4 and y=−3