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kkurt [141]
3 years ago
10

Use row operations to solve the system.

Mathematics
1 answer:
Aleks04 [339]3 years ago
3 0

Answer:

x = 2, y = 7, z = 12

Step-by-step explanation:

x + y - z = -3 (1)

3x - y + z = 11 (2)

x - 4y + z = -14 (3)

add (1) and (2)

4x = 8 x = 2

add (1) and (3)

2x - 3y = -17

2(2) - 3y = -17

-3y = -17 - 4

-3y = -21

y = 7

Find z using any equation

x + y - z = -3

2 + 7 - z = -3

9 - z = -3

z = 12

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what is the equation of a line that passes through the point (1,3) and is parallel to a line with a slope of -2?
natta225 [31]

Answer:

Step-by-step explanation:

y - 3 = -2(x - 1)

y - 3 = -2x + 2

y = -2x + 5

3 0
2 years ago
Catherine invested a principal of $1,650 in her bank account with interest rate 3.1 % How much interest did she earn in 14 years
never [62]

Answer:

$693

Step-by-step explanation:

Catherine invested a principal of $1,650 in her bank account with;

interest rate of 3.1%

How much interest did she earn in 14 years?

To find the amount accumulated in the 14 years, we use the formula:

A = P(1 + rt)

Where A is the amount accumulated, P is the principal, r is the interest rate and t is the time.

A = $1650(1 + \frac{3}{100}(14))

A = $1650 + $693 = $2343

Interest = Amount (A) - Principal (P) = $2343 - $1650 = $693

7 0
2 years ago
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Can someone please take the time out of their day and help me with this question
ruslelena [56]

Answer:

76, 76 104

Step-by-step explanation:

Angle 3 is vertical so it is congruent to Angle 2.

Angle 6 is corresponding, so it is congruent to Angle 2.

Angle 8 is linear to Angle 6, so they add to 180

5 0
2 years ago
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A line has a slope of -2/5. Generate the coordinates of two points that would lie on the same line
vovangra [49]

Answer:

Many solutions are possible. One example is (10,5) and (5,7).

Step-by-step explanation:

The slope is the distance between points represented as a ratio of vertical to horizontal distances. It is a difference or subtraction. To find two points work backwards. What two points have y values with a distance of -2?

5-7=-2

So the points are (x,5) and (x,7).

Now what x values have a distance of 5?

10-5 = 5

So the points are (10,5) and (5,7).

5 0
2 years ago
Help!!
eduard

Answer:

3.5m

Step-by-step explanation:

Multiply both values by 7 to find that 7in=3.5m

4 0
3 years ago
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