How do you solve the system of equations $Y = - 3 X + 5$ $Y= -3X +5$ and $Y = X + 5$ $Y= X + 5$ ?

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Answer 1 · 2015-09-23T11:59:50

$X = 0$ $X=0$
$Y = 5$ $Y=5$

$Y = - 3 X + 5$ $Y=−3X+5$ -------------------(1)
$Y = X + 5$ $Y=X+5$ ------------------(2)

Substitute $Y = X + 5$ $Y=X+5$ in equation (2)

$X + 5 = - 3 X + 5$ $X+5=−3X+5$

Solve it for X
$X + 3 X = 5 - 5$ $X +3X=5-5$
$4 X = 0$ $4X=0$
$X = \frac{0}{4} = 0$ $X=0/4=0$

Substitute $X = 0$ $X=0$ in equation (1)
$Y = 0 + 5$ $Y=0+5$
$Y = 5$ $Y=5$

How do you solve the system of equations Y=−3X+5Y= -3X +5 and Y=X+5Y= X + 5?