To find the intersection point of the two linear equations, we can set them equal to each other:
−x + 7 = 4x - 3
To solve for x, let's subtract 4x from both sides of the equation and add x to both sides:
7 = 5x - 3
Next, let's add 3 to both sides of the equation:
10 = 5x
Now, divide both sides by 5 to solve for x:
10/5 = x
x = 2
To find y, we can substitute the value of x back into either of the original equations. Let's use the first equation:
y = -x + 7
y = -(2) + 7
y = 5
Therefore, the intersection point of the two linear equations is (2, 5).
Estimate the intersection point of the graphs of the following linear equations in two variables.
y=−x+7
y=4x−3
1 answer
1 answer