Question

Find the solution for the system of equations
y=-7/2x+11
7x+2y=20

Answer 1

To solve the system of equations:

1. \( y = -\frac{7}{2}x + 11 \) (Equation 1)
2. \( 7x + 2y = 20 \) (Equation 2)

We can substitute Equation 1 into Equation 2.

First, substitute \( y \) in Equation 2:

\[
7x + 2\left(-\frac{7}{2}x + 11\right) = 20
\]

Now, distribute the \( 2 \):

\[
7x - 7x + 22 = 20
\]

Simplifying this gives us:

\[
0 + 22 = 20
\]

which reduces to:

\[
22 = 20
\]

This statement is false, indicating that there are no solutions to this system of equations. The two lines represented by the equations are parallel, meaning they do not intersect. Thus, the system of equations is inconsistent.