All categories

3 years ago

Consider the system of equations.

1 answer:

4 0

We know that
The subtraction property of equality tells us that if we subtract from one side of an equation, we also must subtract from the other side of the equation to keep the equation the same

that means

if a=b and c=d
a-c=b-d

then
−8x+4y=0----------> equation 1
a=(-8x+4y) b=0

−8x+7y=6----------> equation 2
c=(-8x+7y) d=6

therefore

(-8x+4y)-(-8x+7y)=0-6
-8x+4y+8x-7y=-6
-3y=-6

the answer is the option
Subtraction Property of Equality

You might be interested in

(x^2 - x^(1/2))/(1-x^(1/2))

Levart [38]

$\frac { \left( { x }^{ 2 }-{ x }^{ \frac { 1 }{ 2 } } \right) }{ \left( 1-{ x }^{ \frac { 1 }{ 2 } } \right) }$

$\\ \\ =\frac { \left( { x }^{ 2 }-\sqrt { x } \right) }{ \left( 1-\sqrt { x } \right) } \cdot 1$

$\\ \\ =\frac { \left( { x }^{ 2 }-\sqrt { x } \right) }{ \left( 1-\sqrt { x } \right) } \cdot \frac { \left( 1+\sqrt { x } \right) }{ \left( 1+\sqrt { x } \right) }$

$\\ \\ =\frac { { x }^{ 2 }+{ x }^{ 2 }\sqrt { x } -\sqrt { x } -x }{ 1+\sqrt { x } -\sqrt { x } -x }$

$\\ \\ =\frac { -\sqrt { x } \left( 1-{ x }^{ 2 } \right) -x\left( 1-x \right) }{ \left( 1-x \right) }$

$\\ \\ =\frac { -\sqrt { x } \left( 1+x \right) \left( 1-x \right) -x\left( 1-x \right) }{ \left( 1-x \right) }$

$\\ \\ =\frac { \left( 1-x \right) \left\{ -\sqrt { x } \left( 1+x \right) -x \right\} }{ \left( 1-x \right) }$

$\\ \\ =-\sqrt { x } \left( 1+x \right) -x\\ \\ =-{ x }^{ \frac { 1 }{ 2 } }\left( 1+{ x }^{ \frac { 2 }{ 2 } } \right) -x$

$\\ \\ =-{ x }^{ \frac { 1 }{ 2 } }-{ x }^{ \frac { 3 }{ 2 } }-x\\ \\ =-\sqrt { x } -\sqrt { { x }^{ 3 } } -x$

3 0

3 years ago

Read 2 more answers

2х + Зу = 5 Зу = 5 – 2х I have to solve it algebraically

pogonyaev

There is no solution

4 0

3 years ago

The sum of two numbers is 27. The larger number is 3 more than the smaller number. What are the two numbers?

pantera1 [17]

The two numbers are 12 and 15

Solution:

Let the smaller number be "x"

Let the larger number be "y"

Given that,

The sum of two numbers is 27

Therefore, we frame a equation as:

Smaller number + Larger number = 27

x + y = 27 ------ eqn 1

The larger number is 3 more than the smaller number

Larger number = 3 + smaller number

y = 3 + x ------- eqn 2

Let us solve eqn 1 and eqn 2

Substitute eqn 2 in eqn 1

x + 3 + x = 27

2x + 3 = 27

2x = 27 - 3

2x = 24

Substitute x = 12 in eqn 2

y = 3 + 12

Thus the two numbers are 12 and 15

7 0

3 years ago

Alex has $44x. He bought y sets of dishes. Each set of dishes costs $32. a) write an algebraic exspression for the amount of mon

N76 [4]

44 -32y=x

x= the amount of money he has now

7 0

3 years ago

Use the theoretical method to determine the probability of the following outcome and event. State any assumptions made.

madreJ [45]

Answer:

Assuming that each coin is fair and is equally likely to land heads or tails, the probability is 3/4.

4 0

3 years ago