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Solve the system of equation 2x+5y=-14y=-2x+2by substitution

Short Answer

Expert verified

The solution is3,-4.

Step by step solution

01

Step 1. Given information 

The given equations are:

2x+5y=-14⋯⋯1

y=-2x+2⋯⋯2

02

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

⇒2x+5-2x+2=-14

03

Step 3. Solve for x

⇒2x-10x+10=-14

⇒-8x=-14-10

⇒-8x=-24

⇒x=3

04

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

⇒y=-23+2

⇒y=-6+2

⇒y=-4

05

Step 5. Checking solution 

Now we have x=3and y=-4

Put these values in equation 1

⇒23+5-4=-14

⇒-14=-14

Also put these values in equation 2

⇒-4=-23+2

⇒-4=-4

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