How to Solve the Equation 2x + y = 7?

To solve the equation 2x + y = 7, we need to isolate one of the variables. This equation represents a linear relationship between x and y.

Let’s solve for y:

1. Start with the original equation: 2x + y = 7.
2. Subtract 2x from both sides to isolate y: y = 7 – 2x.

Now, we have the expression for y in terms of x. This means for any value of x, you can find the corresponding value of y. For instance:

• If x = 0, then y = 7 – 2(0) = 7.
• If x = 1, then y = 7 – 2(1) = 5.
• If x = 2, then y = 7 – 2(2) = 3.

This gives us a set of points that satisfy the equation. You can plot these points on a graph, and they will form a straight line. The equation is in slope-intercept form (y = mx + b) where the slope is -2, and the y-intercept is 7.