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Solve Following Equation.
3x-4y=14_eq(1)
9x-10y=14_eq(2)
FIND THE VALUE OF x & y.
Explain Step-by-step
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Answers
Answer:
x = -14 and y = -14
Let's solve your system by substitution
Step 1: Solve 3x − 4y= 14 for x:
3x = 14 + 4y
x = (14 + 4y)/3
x = 14/3 + 4y/3
Step 2: Now lets substitue for x value in the equation 9x - 10y = 14
9(14/3 + 4y/3) - 10y = 14
2y + 42 = 14 (We simplified 9(14/3 + 4y/3) - 10y = 14)
2y = -28
Therefore y = -14
Now lets substitute for y in x = 4y/3 + 14/3
4(-14)/3 + 14/3
= x = -14
Therefore x = -14 and y = -14
Answer:
Simplifying
22x + 11y + 44z = 0
Solving
22x + 11y + 44z = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-11y' to each side of the equation.
22x + 11y + -11y + 44z = 0 + -11y
Combine like terms: 11y + -11y = 0
22x + 0 + 44z = 0 + -11y
22x + 44z = 0 + -11y
Remove the zero:
22x + 44z = -11y
Add '-44z' to each side of the equation.
22x + 44z + -44z = -11y + -44z
Combine like terms: 44z + -44z = 0
22x + 0 = -11y + -44z
22x = -11y + -44z
Divide each side by '22'.
x = -0.5y + -2z
Simplifying
x = -0.5y + -2z