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−4-4xx+1111yy=1515 xx=22yy

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Full solution

Q. −4-4xx+1111yy=1515 xx=22yy
  1. Express xx in terms of yy: First, we will use the second equation x=2yx=2y to express xx in terms of yy.\newlinex=2yx = 2y
  2. Substitute xx into first equation: Next, we substitute the expression for xx from the second equation into the first equation.\newline−4(2y)+11y=15-4(2y) + 11y = 15
  3. Simplify and combine terms: Now, we simplify the equation by distributing −4-4 to 2y2y and combining like terms. −8y+11y=15-8y + 11y = 15
  4. Combine yy terms: Combine the yy terms to get a single yy term on the left side of the equation.\newline3y=153y = 15
  5. Solve for y: Divide both sides of the equation by 33 to solve for y.\newliney=153y = \frac{15}{3}\newliney=5y = 5
  6. Substitute yy back into second equation: Now that we have the value of yy, we can substitute it back into the second equation to find xx.
    x=2yx = 2y
    x=2(5)x = 2(5)
    x=10x = 10

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