How do you solve the simultaneous equations $y = - 2 x + 10$ $y = -2x + 10$ and $3 x + 5 y = 8$ $3x + 5y = 8$ ?

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How do you solve the simultaneous equations $y = - 2 x + 10$ $y = -2x + 10$ and $3 x + 5 y = 8$ $3x + 5y = 8$ ?

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Answer 1 · 2015-07-22T02:49:18

$(x, y) = (6, - 2)$ $(x,y) = (6,-2)$

Explanation:

[1] $XXXX$ $color(white)("XXXX")$ $y = - 2 x + 10$ $y = -2x+10$
[2] $XXXX$ $color(white)("XXXX")$ $3 x + 5 y = 8$ $3x+5y = 8$

Substituting $(- 2 x + 10)$ $(-2x+10)$ for $y$ $y$ (from [1]) in [2]
[3] $XXXX$ $color(white)("XXXX")$ $3 x + 5 (- 2 x + 10) = 8$ $3x +5(-2x+10)=8$
Simplifying
[4] $XXXX$ $color(white)("XXXX")$ $7 x = 42$ $7x = 42$
[5] $XXXX$ $color(white)("XXXX")$ $x = 6$ $x = 6$

Substituting $6$ $6$ for $x$ $x$ back in [1]
[6] $XXXX$ $color(white)("XXXX")$ $y = - 2 (6) + 10$ $y = -2(6)+10$
[7] $XXXX$ $color(white)("XXXX")$ $y = - 2$ $y = -2$

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How do you solve the simultaneous equations $y = - 2 x + 10$ $y = -2x + 10$ and $3 x + 5 y = 8$ $3x + 5y = 8$ ?

1 Answer

Explanation:

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How do you solve the simultaneous equations y=−2x+10y = -2x + 10 and 3x+5y=83x + 5y = 8?

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How do you solve the simultaneous equations $y = - 2 x + 10$ $y = -2x + 10$ and $3 x + 5 y = 8$ $3x + 5y = 8$ ?