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Sagot :
Answer:
- y = 8
- x = 16
Explanation:
- x + y = 24
- x = 2(y)
solve, insert equation 2 into 1
- 2(y) + y = 24
- 3(y) = 24
- y = 8
Find x:
x = 2(y)
x = 2(8)
x = 16
Answer:
y = 8
x = 16
Step-by-step explanation:
Given equations:
- x + y = 24
- x = 2y
Reorganize the equations:
[tex]\left \{ {{x + y = 24} \atop {x = 2y}} \right.[/tex]
[tex]\left \{ {{x + y = 24} \atop {x - 2y = 0}} \right.[/tex]
Subtract:
[tex]\left \{ {{x + y = 24} \atop {x - 2y = 0}} \right.[/tex]
[tex]{ {{[x - x] + [y - (-2y)]= 24 - 0}[/tex]
[tex]{ {{x - x + y + 2y= 24}[/tex]
[tex]3y= 24}[/tex]
Divide 3 both sides:
[tex]\dfrac{3y}{3} = \dfrac{24}{3} }[/tex]
[tex]y = 8[/tex]
Substitute y in any equation:
[tex]x = 2(y)[/tex]
[tex]x = 2(8) = 16[/tex]
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