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jasenka [17]
3 years ago
13

What is the solution of the system?

Mathematics
1 answer:
spin [16.1K]3 years ago
6 0
The Answer is b: x = 18, y = -20

Proof:

Solve the following system:
{4 x + 3 y = 12 | (equation 1)
{7 x + 5 y = 26 | (equation 2)

Swap equation 1 with equation 2:
{7 x + 5 y = 26 | (equation 1)
{4 x + 3 y = 12 | (equation 2)

Subtract 4/7 × (equation 1) from equation 2:
{7 x + 5 y = 26 | (equation 1)
{0 x+y/7 = (-20)/7 | (equation 2)

Multiply equation 2 by 7:
{7 x + 5 y = 26 | (equation 1)
{0 x+y = -20 | (equation 2)

Subtract 5 × (equation 2) from equation 1:
{7 x+0 y = 126 | (equation 1)
{0 x+y = -20 | (equation 2)

Divide equation 1 by 7:
{x+0 y = 18 | (equation 1)
{0 x+y = -20 | (equation 2)

Collect results:

Answer: {x = 18, y = -20
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Find the distance between (-2,7) and (3, -3). Round to the nearest tenth. Geometry please help
yan [13]

Answer:

15

Step-by-step explanation:

The formula for distance when given vertices is

√(x2 - x1)² + (y2- y1)²

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So, (-2,7) and (3, -3)

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Therefore, the distance between (-2,7) and (3, -3) is 15

8 0
2 years ago
7th grade math! Please help! This is almost half of my grade!
stealth61 [152]
You would add the area of the square with the area of the triangle.

Square: length x width 
In your case, it would be 100in²

Triangle: length x height x 1/2 (or length x width divided by 2)
16-10 would be 6 (height) 10-6= 4 (length)
6 x 4 x .5 = 12in²

100in²+12in²=112in²

The area is 112in²



6 0
2 years ago
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