Question

Graph and write solution: 2x + 1 = y -4x + 6y = -10

Answer 1

The graph is shown in figure below

The Solution Set is (-2,-3)

Step-by-step explanation:

We need to graph the equations and writ the solution.

For graphing we need to find the values of x and y.

For that, we need to solve the given equations:

$2x + 1 = y\\-4x + 6y = -10$

Let:

$2x + 1 = y\,\,\,eq(1)\\-4x + 6y = -10\,\,\,eq(2)$

We can solve this by using Substitution Method.

Putting value of y of eq(1) into eq(2) and finding value of x:

$2x + 1 = y\,\,\,eq(1)\\-4x+6(2x+1)=-10\\-4x+12x+6=-10\\8x+6=-10\\8x=-10-6\\8x=-16\\x=-16/8\\x=-2$

So, value of x = -2

Now put value of x in eq(1) to find value of y:

$2x + 1 = y\\2(-2)+1=y\\-4+1=y\\y=-3$

So, value of y = -3

Plotting on graph: x=-2 and y = -3

The graph is shown in figure below

The Solution Set is (-2,-3)

Keywords: graph the equations

Learn more about Graphing Equations at:

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