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In Mathematics / High School | 2014-01-13

Solve using substitution:

\[ y = 2x + 5 \]
\[ y = 6x + 1 \]

Asked by brentsway1

Answer (3)

y = 2x+5 y = 6x+1
Just substitute.
y = 2x+5 6x+1 = 2x+5 6x-2x = 5-1 4x = 4 x = 1
Then, insert x = 1 into one of the equation. Let's say I choose number one. y = 2x+5 y = 2(1) + 5 y = 7

Answered by Anonymous | 2024-06-10

y=2x+5 y=6x+1
y=2x+5 2x+5=6x+1
y=2x+5 2x-6x=1-5
y=2x+5 -4x=-4 / : (-4)
y=2x+5 x=1
x=1 y=2*1+5
x=1 y=2+5
x=1 y=7

Answered by vivindalka | 2024-06-10

By substituting one equation into the other, we found that x = 1 and y = 7 , leading to the solution ( 1 , 7 ) . This method effectively demonstrates how to solve a system of equations using substitution. The final answer indicates the point of intersection for the two lines represented by the equations.
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Answered by Anonymous | 2024-11-01