Answer:
13/17, 20/17
Step-by-step explanation:
3x + 4y = 7 --- Equation 1
Equation 1×5:
15x + 20y = 35 --- Equation 2
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8x + 5y = 12 --- Equation 3
Equation 3×4:
32x + 20y = 48 --- Equation 4
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Equations 4-2:
32x + 20y - 15x - 20y = 48 - 35
17x = 13
x = [tex]\frac{13}{17}[/tex]
Substitute x = [tex]\frac{13}{17}[/tex] into Equation 1:
3x + 4y = 7
3([tex]\frac{13}{17}[/tex]) + 4y = 7
[tex]\frac{39}{17}[/tex] + 4y = 7
4y = 7 - [tex]\frac{39}{17}[/tex]
= [tex]\frac{119}{17}[/tex] - [tex]\frac{39}{17}[/tex]
= [tex]\frac{80}{17}[/tex]
y = [tex]\frac{80}{17}[/tex] ÷ 4
y = [tex]\frac{20}{17}[/tex]
Thus, x = [tex]\frac{13}{17}[/tex], y = [tex]\frac{20}{17}[/tex].
( [tex]\frac{13}{17}[/tex], [tex]\frac{20}{17}[/tex])
