Question

9 multiple choice 1 point
the system of linear equations $5x + 3y = 3$ and $x + y = -1$ is graphed below.
what is the solution to the system of equations?
a) $(4, -3)$
b) $(3, -4)$
c) $(-4, 3)$
d) $(-3, 4)$
options: a, b, c, d

Explanation:

Step1: Use substitution method

From $x+y=-1$, rearrange to $y=-1-x$.

Step2: Substitute into first equation

Substitute $y=-1-x$ into $5x+3y=3$:
$5x+3(-1-x)=3$

Step3: Simplify and solve for x

$5x-3-3x=3$
$2x-3=3$
$2x=6$
$x=3$

Step4: Solve for y using x=3

Substitute $x=3$ into $y=-1-x$:
$y=-1-3=-4$

Answer:

b) (3, -4)