Answer: 7 9/34 or 7.264705882
Step-by-step explanation:
3x+5y=−16x−4y=26
Consider the first equation. Add 16x to both sides.
3x+5y+16x=−4y
Combine 3x and 16x to get 19x.
19x+5y=−4y
Add 4y to both sides.
19x+5y+4y=0
Combine 5y and 4y to get 9y.
19x+9y=0
To solve a pair of equations using substitution, first solve one of the equations for one of the variables. Then substitute the result for that variable in the other equation
19x+9y=0,−16x−4y=26
Choose one of the equations and solve it for x by isolating x on the left hand side of the equal sign.
19x+9y=0
Subtract 9y from both sides of the equation.
19x=−9y
Divide both sides by 19.
x= 1/19 (-9)y
Multiply 1/19 times -9y
x= -9/19y
Substitute - 9y/19for x in the other equation, −16x−4y=26.
-16 (-9/19) y - 4y = 26
Multiply −16 times -9y/19
144/19 y -4y -26
Add 144y/19 to -4y
68/19y = 26
Divide both sides of the equation by 68/19 which is the same as multiplying both sides by the reciprocal of the fraction.
y = 247/34
Substitute 247/34 for y in x = -9/19y Because the resulting equation contains only one variable, you can solve for x directly.
x = - 9/19 x (247/34)
Multiply - 9/19 times 247/34 by multiplying numerator times numerator and denominator times denominator. Then reduce the fraction to lowest terms if possible
x = - 117/34
The system is now solved.
x = - 117/34 , y = 247/34
Turned into a mixed number would be
7 9/34.