Answer:
y= -2 and x= 2.
Step-by-step explanation:
(y=-3x+4)4
(y=4x-10)3
make the x's cancel out.
you get 7y=-14.
y=-2.
-2=-3x+4
x=2
<h3>
<u>Explanation</u></h3>
- Calculate the slope by using rise over run with two given coordinate points.

The slope is 2/3.

where m = slope and b = y-intercept. Substitute the value of m in slope-intercept form.

- Substitute one of two coordinate points in the slope-intercept form.
I will use (-3,2) instead.

The y-intercept is (0,4). Then rewrite the equation by substituting the b-value and slope in slope-intercept form.

<h3>
<u>Answer</u></h3>
<u>
</u>
Answer:
<h2>
The solution is (2, -1)</h2><h2>The area of the triangle formed is 10 square units.</h2>
Step-by-step explanation:
The given system is

First, you need to graph both lines. To do so, you just need to find the interceptions with both axis.

For 
For 
Then, you draw both points to have the straight line.
Repeat the process for the second line. The image attached shows both lines.
Remember, the solution of a linear system of equation is the common point between lines. In this case, we can observe that the solution is (2, -1).
On the other hand, to find the area of the triangle formed, we need to use the length of its base and its height.
- Its base is 10 units long.
- Its height is 2 units long.
Now, we use the area formula for triangles

Therefore, the area of the triangle formed is 10 square units.
Answer:
Step-by-step explanation:
log₂ 24 - log₂ 3 = log₂ 2*2*2*3 - log₂ 3
= log₂ 2³*3 - log₂ 3 = log₂ 2³ + log₂3 - log₂3
= 3 log₂ 2
= 3*1 =3
log₅ x = log₂ 24 - log₂ 3
= 3
so the value of x = 125
log₅ 125 = log₅ 5³ = 3log₅ 5 = 3 * 1 =3