Posted by **carol** on Monday, May 2, 2011 at 11:34am.

use the substitution method. Show your work. If the system has no solution or an infinite number of solutions, state this 3x + 24y = 24s,27x – 15y = -15 .

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**PsyDAG**, Monday, May 2, 2011 at 11:41am
3x + 24y = 24

27x – 15y = -15

Divide first equation by 3.

x + 8y = 8

Transpose y term.

x = 8 - 8y

Substitute 8-8y for x in second equation and solve for y. Insert that value into the first equation and solve for x. Check by inserting both values into the second equation.

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**bobpursley**, Monday, May 2, 2011 at 11:41am
3x+24y=24

27x -15y=-15

solve for x in the first equation.

x= -y+8

put that in the second equation

27(-y+8)-15y=-15

solve for y

Then put that y back into the first equation, solve for x.

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