Mathematics: 5x+14y=-5, -3x+10y=72

Part A: d+h=12 12+s=mPart B: 2*s = mStep-by-step explanation:...

5x+14y=-5, -3x+10y=72 - id51453107214601222, 2005AngelMoore

Tringirl233

17.10.2021

5x+14y=-5 Equation 1

-3x +10 y = 72 Equation 2

Rearrange Equation 1 to make x the subject

5x+14y=-5

5x=-5-14y

$x=-1-\frac{14}{5}y$ Equation 3

Rearrange Equation 2 to make y the subject

-3x +10 y = 72

10y=72+3x

$y=\frac{72}{10} +\frac{3}{10}x$ Equation 4

Substitute Equation 3 into 4

$y=\frac{72}{10} +\frac{3}{10}(-1-\frac{14}{5}y)$

$y=\frac{72}{10} -\frac{3}{10} -\frac{21}{25} y$

$y+\frac{21}{25} y=\frac{72}{10} -\frac{3}{10}$

$\frac{46}{25} y=\frac{69}{10}$

$y= 3\frac{3}{4}$ Equation 5

Substitute Equation 5 into 3

$x=-1-\frac{14}{5}(3\frac{3}{4} )$

$x=-1-\frac{21}{2}$

$x=-\frac{23}{2}$

$x =-11\frac{1}{2}$

$y= 3\frac{3}{4}$

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