SUBSTITUTION METHOD
8x+4y=15
x+y=3
2 answers:
Answer:
x = 3/4 and 9/4
Step-by-step explanation:
Rewrite equations:
x+y=3;8x+4y=15
Step: Solvex+y=3for x:
x+y=3
x+y+−y=3+−y(Add -y to both sides)
x=−y+3
Step: Substitute−y+3forxin8x+4y=15:
8x+4y=15
8(−y+3)+4y=15
−4y+24=15(Simplify both sides of the equation)
−4y+24+−24=15+−24(Add -24 to both sides)
−4y=−9

Step: Substitute
for y in x=−y+3:
x=−y+3
x = -
+3
(Simplify both sides of the equation)
Answer:
and 
Answer:
(2.25, 0.75)
Step-by-step explanation:
x+y=3
subract x from both sides
y=x-3
subsitute y
8x+4(x-3)=15
distribute
8x+4x-12=15
combine like terms
12x-12=15
12x=27
divide
<u>x=9/4 or 2.25</u>
Substitute in one equation
2.25+y=3
<u>y=0.75 or 3/4</u>
Don't forget to check your work!
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