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2 years ago

NEED HELP ASAP. WILL GIVE BRAINLY

Mathematics

1 answer:

balu736 [363]2 years ago

5 0

Answer:

A. x = 2 and y =2

B. x = 3 and y = -1

Step-by-step explanation:

A. { x = 3y − 4

2x − y = 2

1) Substitute the value of x

2(3y − 4) − y = 2

2) Solve the equation for y

y = 2

3) Substitute the value of y

x= 3(2) -4

4) Solve the equation for x

x = 2

Final Solution: x = 2 and y =2

B. { 3x + 2y = 7

−x + y = −4

1) Multiply both sides of the equation by 3

-3x + 3y = -12

2) Eliminate one variable by adding the equations

3x + 2y = 7

5y = -5

3) Divide both sides of the equation by 5

y = -1

4) Substitute the given value of y into the equation -x + y = -4

-x + (-1) = -4

5) Solve the equation for x

x = 3

Final Solution: x = 3 and y = -1

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The statement that is definitely true about x = 2 is Both a(x) and b(x) have the same output value at x = 2.

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If we have two functions a(x) and b(x), a statement is made that a(x) = b(x) at x = a, this implies that the values of the functions a(x) and b(x) are equal at x = a.

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2 years ago

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An investor invested a total of $2,800 in two mutual funds. One fund earned 5% profit while the other earned 3% profit. If the i

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Answer:

The amount invested in the mutual fund that earned 5% was $1,000

The amount invested in the mutual fund that earned 3% was $1,800

Step-by-step explanation:

Let

x ----> the amount invested in the mutual fund that earned 5%

y ----> the amount invested in the mutual fund that earned 3%

we know that

$x+y=2,800$ ----> $y=2,800-x$ ----> equation A

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$3\%=3/100=0.03$

$0.05x+0.03y=104$ ----> equation B

Solve the system by substitution

substitute equation A in equation B

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Solve for x

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<em>Find the value of y</em>

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therefore

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