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AVprozaik [17]
2 years ago
12

I need help! I will give brainliest, if correct!

Mathematics
2 answers:
nekit [7.7K]2 years ago
5 0

<em>kx</em> + <em>z</em> = 3 means <em>z</em> = 3 - <em>kx</em>. Substitute this into the first two equations:

<em>x</em> + <em>y</em> + 3 (3 - <em>kx</em>) = 10   ==>   (1 - 3<em>k</em>) <em>x</em> + <em>y</em> = 1

-4<em>x</em> + 3<em>y</em> + 5 (3 - <em>kx</em>) = 7   ==>   (-4 - 5<em>k</em>) <em>x</em> + 3<em>y</em> = -8

Multiply through the first equation by -3 :

-3 ((1 - 3<em>k</em>) <em>x</em> + <em>y</em>) = -3 (1)   ==>   (-3 + 9<em>k</em>) <em>x</em> - 3<em>y</em> = -3

Add this to the second equation to eliminate <em>y</em> :

((-3 + 9<em>k</em>) <em>x</em> - 3<em>y</em>) + ((-4 - 5<em>k</em>) <em>x</em> + 3<em>y</em>) = -3 + (-8)

(-7 + 4<em>k</em>) <em>x</em> = -11

Normally, you would solve for <em>x</em> by dividing both sides by -7 + 4<em>k</em>. But you can't do that if this turns out to be equal to 0, which happens for

-7 + 4<em>k</em> = 0   ==>   <em>k</em> = 7/4

ki77a [65]2 years ago
3 0

Answer:

k = 7/4

Step-by-step explanation:

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