1 answer:
Answer:
<u>(2, 3)</u>
Step-by-step explanation:
Given: 4x = −3y + 17 and 3x − 4y = −6
4x = -3y + 17
∴ 4x + 3y = 17 ⇒ (1)
3x − 4y = −6 ⇒ (2)
Multiplying eq.(1) by 4 and eq.(2) by 3
16x + 12y = 68
9x - 12y = -18
Add the last 2 equations, the y terms will be eliminated
16x + 9x = 68 - 18
25x = 50
∴ x = 50/25 = 2
By substitution with x at eq.(1)
4*2 + 3y = 17
8 + 3y = 17
3y = 17 - 8 = 9
∴ y = 9/3 = 3
So, x = 2 and y = 3
<u>The solution to this system of equations is (2,3)</u>
Also see the attached figure which represent the graphical solution for the given system of equations
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Hey there! I'm happy to help!
Here's how to find the slope given any two points.
Subtract the y values.
14-(-18+-14+18=32
Subtract the x values.
-6-2=-8
And divide those.
32/-8=-4
The slope is -4.
Have a wonderful day! :D