Question

How do you solve the system of equations x+y=3 and 3x+2y=14 by graphing?

How do you solve the system of equations x+y=3 and 3x+2y=14 by graphing?

Answer 1

See explanation

Explanation:

These are equations of strait lines.

You need to plot $y$ against the functions of $x$
So you need to change then into the format of $y = m x + c$
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Consider: $\text{ } x + y = 3$

Subtract $x$ from both sides

$y = - x + 3$
.................................................................
Consider $\text{ } 3 x + 2 y = 14$

Subtract $3 x$ from both sides

$2 y = - 3 x + 14$

divide both sides by 2

$y = - \frac{3}{2} x + 7$
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Substitute at least 2 values into $x$ in each equation to determine related values of $y$.

Plot the two lines and read of the $x \mathmr{and} y$ values where they cross.

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