Ask question

Ask question

All categories

1 year ago

11

A student is trying to solve the system of two equations given below: equation p: y z = 6 equation q: 3y 4z = 1 which of these i

s a possible step used in eliminating the y-term? (y z = 6) ⋅ 4 (3y 4z = 1) ⋅ 4 (y z = 6) ⋅ −3 (3y 4z = 1) ⋅ 3

1 answer:

Vadim26 [7]1 year ago

6 0

<u>Option C is correct </u><u>(y + z = 6) ⋅ −3</u>

What is a linear equation in math?

A linear equation only has one or two variables.
No variable in a linear equation is raised to a power greater than 1 or used as the denominator of a fraction.
When you find pairs of values that make a linear equation true and plot those pairs on a coordinate grid, all of the points lie on the same line.

As per the statement -

A student is trying to solve the system of two equations given below:

Equation P: y + z = 6 ....[1]

Equation Q: 3y + 4z = 1 ....[2]

Multiply the equation [1] by -3 to both sides we have;

-3 .( y + z = 6 ) ⇒ -3y -3z = -18..........(3)

Add equation [2] and [3] to eliminate the y-term;

z = -17

Therefore, the possible step used in eliminating the y-term is, (y + z = 6) ⋅ −3

Learn more about linear equation

brainly.com/question/11897796

#SPJ4

<u>The complete question is -</u>

A student is trying to solve the system of two equations given below: Equation P: y + z = 6 Equation Q: 3y + 4z = 1 Which of these is a possible step used in eliminating the y-term?

(y + z = 6) ⋅ 4

(3y + 4z = 1) ⋅ 4

(y + z = 6) ⋅ −3

(3y + 4z = 1) ⋅ 3

You might be interested in

Why is it important to make sure the decimal point is in the correct spot whn adding and subtracting decimals?

blsea [12.9K]

A decimal in the wrong place can change the value of a number completely for example
0.5 can be converted to 50 cents or 1/2 but if you change the decimal 0.05 converts to 5% or 1/20.

4 0

3 years ago

write an equation in slope intercept form of a line that passes through the point (14,8) and is (a) parallel (b) perpendicular t

LenKa [72]

Slope-intercept form:

y = mx + b "m" is the slope, "b" is the y-intercept (the y value when x = 0)

First find the slope of the line that passes through (4,9) and (-3,6).

Use the slope formula and plug in the two points:

$m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

$m=\frac{6-9}{-3-4}$

$m=\frac{-3}{-7} =\frac{3}{7}$

A.) For lines to be parallel, their slopes have to be the same.

Since the given line's slope is 3/7, the parallel line's slope is also 3/7

y = 3/7x + b To find "b", plug in the point (14,8) into the equation

8 = 3/7(14) + b

8 = 42/7 + b

8 = 6 + b Subtract 6 on both sides

2 = b

$y=\frac{3}{7}x+2$

B.) For lines to be perpendicular, their slopes have to be the opposite/negative reciprocal (flipped sign and number)

For example:

slope is 3

perpendicular line's slope is -1/3

slope is -2/3

perpendicular line's slope is 3/2

Since the given line's slope is 3/7, the perpendicular line's slope is -7/3

y = -7/3x + b Plug in (14, 8) to find "b"

8 = -7/3(14) + b

8 = -98/3 + b Add 98/3 on both sides

8 + 98/3 = b Make the denominators the same

24/3 + 98/3 = b

122/3 = b

$y=-\frac{7}{3}x+\frac{122}{3}$

7 0

3 years ago

How to rewrite 2+2+2+2+2 into a multiplication problem?

inna [77]

Answer:

2 x 5

Step-by-step explanation:

Think of it as "the value 2 is being added together 5 times" being added together so it could be written as 2 times 5.

5 0

3 years ago

Read 2 more answers

Math surface area help plz

Stolb23 [73]

So, use the formula:

$A = .5(8)(27)$

A = 108

3 0

3 years ago

Read 2 more answers

Can you find what each of the answers are

Ksju [112]

$▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪$

1. Find Angle A :

$x + 24 = 3x$

$3x - x = 2 4$

$2x = 24$

$x = 12$

Angle A :

$3x$

$3 \times 12$

$36 \degree$

2. Find Angle B :

$10x - 27 = 7x$

$10x - 7x = 27$

$3x = 27$

$x = 9$

Angle B :

$10x - 27$

$(10 \times 9) - 27$

$90 - 27$

$63 \degree$

Find Angle C :

$5x + 1 = 6x - 13$

$6x - 5 x = 1 + 13$

$x = 14$

Angle C :

$5x + 1$

$(5 \times 14) + 1$

$70 + 1$

$71 \degree$

Find Angle D :

$6x + 3 = 4x + 39$

$6x - 4x = 39 - 3$

$2x = 36$

$x = 18$

Angle D :

$4x + 39$

$(4 \times 18) + 39$

$72 + 39$

$111\degree$

And it's given :

36° = Angle A = B

63° = Angle B = A

71° = Angle C = H

111° = Angle D = E

Therefore, the answer will be " BAHE "

4 0

3 years ago