Question

BRAINLIEST! URGENT! Please help of you can, please provide an explanation aswell, Thank you.​

Answer 1

Answer:

The x-coordinate of the intersection point (x, y) = (-0.5, -1) of the system is: -0.5

Hence, option A) i.e. -0.5 is correct.

Step-by-step explanation:

Given the system of equations

2.4x - 1.5y = 0.3

1.6x + 0.5y = -1.3

solving the system of equations

$\begin{bmatrix}2.4x-1.5y=0.3\\ 1.6x+0.5y=-1.3\end{bmatrix}$

Multiply 2.4x - 1.5y = 0.3 by 2

Multiply 1.6x + 0.5y = -1.3 by 3

so the system of equations becomes

$\begin{bmatrix}4.8x-3y=0.6\\ 4.8x+1.5y=-3.9\end{bmatrix}$

so

$4.8x+1.5y=-3.9$

$-$

$\underline{4.8x-3y=0.6}$

$4.5y=-4.5$

so the system of equations becomes

$\begin{bmatrix}4.8x-3y=0.6\\ 4.5y=-4.5\end{bmatrix}$

solve 4.5y = -4.5 for y

$4.5y=-4.5$

Multiply both sides by 10

$4.5y\cdot \:10=-4.5\cdot \:10$

Refine

$45y=-45$

Divide both sides by 45

$\frac{45y}{45}=\frac{-45}{45}$

Simplify

$y=-1$

For 4.8x - 3y = 0.6, plug in y = -1

$4.8x-3\left(-1\right)=0.6$

$4.8x+3\cdot \:1=0.6$

$4.8x+3=0.6$

Multiply both sides by 10

$4.8x\cdot \:10+3\cdot \:10=0.6\cdot \:10$

Refine

$48x+30=6$

Subtract 30 from both sides

$48x+30-30=6-30$

Simplify

$48x=-24$

Divide both sides by 48

$\frac{48x}{48}=\frac{-24}{48}$

simplify

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

or

$x = -0.5$

Thus,

(x, y) = (-0.5, -1)

Therefore, the x-coordinate of the intersection point (x, y) = (-0.5, -1) of the system is: -0.5

Hence, option A) i.e. -0.5 is correct.