Question

Estimate the solution of the linear system of equations by graphing. Give approximate coordinate values to the nearest integer. 3y=-6x+18 -35=-7x+5y

Answer 1

The solutions to the system of equations is $(3.8,-1.6)$

Explanation:

Given the system of equations are $3y=-6x+18$ and $-35=-7x+5y$

We need to determine the solution to the system of equations.

Let us plot the equation $3y=-6x+18$ in the graph.

When $x=0$ , we get, $3y=18 \implies y=6$

When $y=0$ , we get, $-18=-6x \implies x=3$

Thus, the coordinates are (0,6) and (3,0)

Let us plot the equation $-35=-7x+5y$ in the graph.

When $x=0$ , we get, $-35=5y \implies -7=y$

When $y=0$ , we get, $-35=-7x \implies 5=x$

Thus, the coordinates are (0,-7) and (5,0)

The solution to the system of equations is the point of intersection of the two lines.

Thus, the lines intersect at the point $(3.824,-1.647)$

The approximate values of the point is $(3.8,-1.6)$

Thus, the solution is $(3.8,-1.6)$