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Solve the system of equationx+y=02x+3y=-4by substitution

Short Answer

Expert verified

The solution is4,-4

Step by step solution

01

Step 1. Given information 

The given equations are:

x+y=0⋯⋯1

2x+3y=-4⋯⋯2

02

Step 2. Substitute value of y from equation 1 in equation 2

From equation 1, y=-x

Put in equation 2

⇒2x+3-x=-4

03

Step 3. Solve for x

⇒2x-3x=-4

⇒-x=-4

⇒x=4

04

Step 4. Substitute value of x from step 3 in equation 2

⇒24+3y=-4

⇒8+3y=-4

⇒3y=-12

⇒y=-4

05

Step 5. Checking solution 

Now we have x=4andy=-4

Put these values in equation 1

⇒4-4=0

⇒0=0

Also put these values in equation 2

⇒24+3-4=-4

⇒-4=-4

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