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
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
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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