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Amiraneli [1.4K]
3 years ago
14

Solve the system using elimination PLEASE SHOW ALL WORK 5x+4y=12 3x-3y=18

Mathematics
2 answers:
marta [7]3 years ago
7 0
5x + 4y = 12....multiply by 3
3x - 3y = 18 ...multiply by -5
----------------
15x + 12y = 36 (result of multiplying by 3)
-15x + 15y = - 90 (result of multiplying by -5)
----------------------add
27y = - 54
y = -54/27
y = -2

5x + 4y = 12
5x + 4(-2) = 12
5x - 8 = 12
5x = 12 + 8
5x = 20
x = 20/5
x = 4

solution is : (4,-2) <=
Step2247 [10]3 years ago
3 0
<span><span>5x+4y</span>=12</span>Step 1: Add -4y to both sides.<span><span><span>5x+4y</span>+<span>−4y</span></span>=<span>12+<span>−4y</span></span></span><span>5x=<span><span>−4y</span>+12</span></span>Step 2: Divide both sides by 5.<span><span>5x5</span>=<span><span><span>−4y</span>+12</span>5</span></span><span>x=<span><span><span>−45</span>y</span>+125</span></span>Answer:<span>x=<span><span><span>−45</span>y</span>+<span>12<span>5
question 2:
</span></span></span></span><span><span><span>3x</span>−<span>3y</span></span>=18</span>Step 1: Add 3y to both sides.<span><span><span><span>3x</span>−<span>3y</span></span>+<span>3y</span></span>=<span>18+<span>3y</span></span></span><span><span>3x</span>=<span><span>3y</span>+18</span></span>Step 2: Divide both sides by 3.<span><span><span>3x</span>3</span>=<span><span><span>3y</span>+18</span>3</span></span><span>x=<span>y+6</span></span>Answer:<span>x=<span>y+<span>6</span></span></span>
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Answer:

Vertex form: f(x)=(x-1)^2-3

Standard form: f(x)=x^2-2x-2

Step-by-step explanation:

A quadratic function in vertex form is f(x)=a(x-h)^2+k where (h,k) is the vertex.

We are given h=1,k=-3.

Let's plug that in:

f(x)=a(x-1)^2-3.

Now let's find a.

We will use the y-intercept (0,-2) to find a.

f(0)=a(0-1)^2-3

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In standard form, we will have to multiply and combine any like terms.

Let's do that:

f(x)=(x-1)(x-1)-3

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