The x-coordinate of the point of intersection for given equations is 2
Step-by-step explanation:
Given equations are:
[tex]2x+y = 7\ \ \ Eqn\ 1\\10x-7y = -1\ \ \ Eqn\ 2[/tex]
The point of intersection is the solution of the system of equations
as we have to find the x-coordinate we will use elimination method to eliminate y
So,
Multiplying equation 1 with 7
[tex]7(2x+y) = 7(7)\\14x+7y = 49\ \ \ \ Eqn\ 3[/tex]
Adding equation 2 and 3
[tex](14x+7y) + (10x-7y) = 49-1\\14x+10x+7y-7y = 48\\24x = 48[/tex]
Dividing both sides by 24
[tex]\frac{24x}{24} = \frac{48}{24}\\x = 2[/tex]
The x-coordinate of the point of intersection for given equations is 2
Keywords: Linear equations, simultaneous equations
Learn more about linear equations at:
- brainly.com/question/899976
- brainly.com/question/884169
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