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Choose the correct graph of the given system of equations.


y + 2x = −1

3y − x = 4


A.) graph of two lines that intersect at the point negative 1, 1, with text on graph that reads One Solution negative 1, 1


B.) graph of two lines that intersect at the point 1, 1, with text on graph that reads One Solution 1, 1


C.) graph of two parallel lines with positive slopes with text on the graph that reads No Solution


D.) graph of two lines on top of each other with text on graph that reads Infinitely Many Solutions

Respuesta :

lucic

A.) graph of two lines that intersect at the point negative 1, 1, with text on graph that reads One Solution negative 1, 1

Step-by-step explanation:

The two simultaneous equation given are;

y+2x= -1

3y-x=4

multiply the first equation by 1 and the second equation by 2 to make the terms with x equal

y+2x = -1

6y-2x=8

-------------- ---add the terms with x to eliminate x

7y=7 -------divide both sides by 7 to remain with y

7y/7 =7/7

y= 1 -----use the value of y in the first equation

y+2x= -1

1+2x= -1

2x= -2

2x/2= -2/2

x= -1

The solution is (-1,1)

You can plot the equations on a graph tool as shown below to visualize the solution where the two linear equations intersect

See attached graph

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simultaneous equation : https://brainly.com/question/12318095

Keywords : solution, equations, simultaneous equations

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graph of two lines that intersect at the point negative 1, 1, with text on graph that reads One Solution negative 1, 1

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