2x + y = 4 3x - y = 6

Mathematics

2 answers:

MrMuchimi4 years ago

8 0

y=(1/2)x-1

You have to set both to y and then add. After that you solve for y

Gekata [30.6K]4 years ago

7 0

So, just add

2x+y=4
<u>3x-y=6 +</u>
5x+0y=10

5x=10
divide 5
x=2

sub back
2x+y=4
2(2)+y=4
4+y=4
y=0

x=2
y=0
(2,0)

the result of adding the equation is 5x=10

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If TSP and PSW are supplementary, and TSP is two times as large as mPSW, what is mTSP?

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Answer:

$\huge\boxed{120 \textdegree}$

Step-by-step explanation:

In order to solve for m∠TSP, we can use basic angle relationships and equations.

Let’s assume m∠PSW is $x$ °

We know that if two angles are supplementary, their angle lengths will add to 180°.

We also know that m∠TSP is twice as large as PSW. Since PSW is represented as x°, TSP will be 2x°.

We can add these two angles together and get 180°. Then you can solve for x (PSW)

$x+2x=180$
$3x=180$
$x=60$

So we know that x (PSW) is 60°. However, the question asks for the measure of TSP. We know that TSP is twice as large as PSW, so we can multiply PSW (60) by 2.

$60 \cdot 2 = 120$