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 .

2 answers

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.
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.