SOLUTION: What is the linear system of 2x+y=2,2x+3y=13 using substitution?

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 Question 15693: What is the linear system of 2x+y=2,2x+3y=13 using substitution?Answer by pwac(253)   (Show Source): You can put this solution on YOUR website!2x+y=2------(1) 2x+3y=13----(2) Rearrange(1)to get y=2-2x.Substitute this into (2) 2x+3(2-2x)=13 Multiply bracket by 3 2x+6-6x=13 Rearrange to get: -4x=7 Divide both sides by -4 x=-1.75 Now substitute this value of x in equation (1) 2(-1.75)+y=2 -3.5+y=2 y=5.5 Check by using values of x and y in (1) 2(-1.75)+5.5=2 correct Pete