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put this solution on YOUR website!5x - 6x = -17
3x - 4y + 5z = -1
2z = -6
looks like you have 3 equations that have to be solved simultaneously.
looks like your third equation has already solved for z so we can start there.
2z = -6 becomes z = -3 when you divided both sides of the equation by 2.
z = -3 is the value of one of your variables.
you are left with:
5x - 6x = -17
3x - 4y + 5z = -1
that first equation looks like it's all in x so we can solve for x from that equation.
5x - 6x = -17 becomes -x = -17 after you combine like terms.
multiply both sides of this equation by -1 to get:
x = 17
you now have two values out of the 3.
you have:
x = 17
z = -3
you have only one equation left to solve.
that is:
3x - 4y + 5z = -1
replace x with 17 and z with -3 in that equation to get:
3*(17) - 4*y + 5*(-3) = -1
this becomes:
51 - 4*y - 15 = -1
combine like terms to get:
36 - 4*y = -1
add 4*y to both sides of the equation and add 1 to both sides of the equation to get:
36 + 1 = 4*y
combine like terms to get:
37 = 4*y
divide both sides of the equation by 4 to get:
9.25 = y
this is the same as:
y = 9.25
the answer to your equation is:
x = 17
y = 9.25
z = -3
substitute in your original equations to confirm these answers are good.
5x - 6x = -17
3x - 4y + 5z = -1
2z = -6
these become:
5*(17) - 6*(17) = -17
3*(17) - 4*(9.25) + 5*(-3) = -1
2*(-3) = -6
simplify and combine like terms to get:
-17 = -17
51 - 37 - 15 = -1
-6 = -6
simplify further to get:
-17 = -17
-1 = -1
-6 = -6
all equations confirm so the answer is good.
