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Shtirlitz [24]
3 years ago
5

What is the solution to the following system of equations?

Mathematics
1 answer:
Semmy [17]3 years ago
3 0

Answer:

(3,2)

Step-by-step explanation:

The system is

x + y = 5

x -y = 1

Add the equations to eliminate y

2x = 6----->x=3

Substitute this value in any equation

3+y = 5----->y=2

The solution is (3,2)

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Find the equation of the line between the points (10, – 5) and ( - 2,0).
Natali5045456 [20]

Answer <u>(assuming it can be in slope-intercept form)</u>:

y = -\frac{5}{12} x-\frac{5}{6}  

Step-by-step explanation:

1) First, find the slope of the line between the two points by using the slope formula, m  = \frac{y_2-y_1}{x_2-x_1}. Substitute the x and y values of the given points into the formula and solve:

m = \frac{(0)-(-5)}{(-2)-(10)} \\m = \frac{0+5}{-2-10} \\m=\frac{5}{-12}

Thus, the slope of the line is -\frac{5}{12}.

2) Next, use the point-slope formula y-y_1 = m (x-x_1) to write the equation of the line in point-slope form. Substitute values for m, x_1, and y_1 in the formula.

Since m represents the slope, substitute -\frac{5}{12} in its place. Since x_1 and y_1 represent the x and y values of one point the line intersects, choose any of the given points (it doesn't matter which one, it will equal the same thing) and substitute its x and y values into the formula as well. (I chose (-2,0), as seen below.) Then, isolate y and expand the right side in the resulting equation to find the equation of the line in slope-intercept form:

y-(0)=-\frac{5}{12} (x-(-2))\\y-0 = -\frac{5}{12} (x+2)\\y = -\frac{5}{12} x-\frac{5}{6}

3 0
2 years ago
Jill has a 25% off coupon for some computer software. If the coupon saved her $35, how much would the software cost without the
zysi [14]

Answer:

$140

Step-by-step explanation:

35 times 4

6 0
3 years ago
Please help ASAP. Please show ur work
Vaselesa [24]
The answer is

2. 2a+12

Show work

2a+7+2a+7+4+4= 4a+22

A+2+a+2+3+3 = 2a+10

(4a+22)-(2a+10) = 2a+12
6 0
3 years ago
From least to greatest 2.3, 2 4/5, 2.6
algol [13]
2.3, 2.6, 2 4/5

2 4/5= 2.8
7 0
3 years ago
Find the surface of the prism
natta225 [31]

Answer:

no se podrías resolverlo tu

6 0
2 years ago
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