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IrinaK [193]
3 years ago
11

2x + y = 5 , x + y = 4Solve the system of linear equations.

Mathematics
1 answer:
kumpel [21]3 years ago
8 0

2x+y=5

x+y=4


We need to solve 2x+y=5 for y

let's start by adding -2x to both sides

2x+y-2x=5-2x

y=-2x+5

Now substitute -2x+5 for y in x+y=4

x+y=4

x-2x+5=4

-x+5 =4

Add -5 to both sides so we can find the value for x

-x+5-5=4-5

-x=-1

We know that x can not stay with the negative sign so to eliminate that we need to divide both sides by -1

-x/-1= -1/-1

x=1

Now we have the value for x :)

We need to find the value for y by substitute 1 for x in y=-2x+5

y=-2x+5

y= (-2)(1)+5

y= -2+5

y= 3

Final answer : x=1 and y=3

                          (1,3)


I hope that's help :)

Please let me know by rating my answer and a Thanks :0

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What is the area of this composite figure?
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2 years ago
What is the solution to this equation?<br> 6x + 10 - 2x= 7 + 23
Strike441 [17]

Answer:

\boxed{x=5}

Step-by-step explanation:

First, you need to combine like terms in order to begin simplifying. This is done by subtracting 2x from 6x. Also, add 7 to 23.

6x + 10 - 2x = 7 + 23

4x + 10 = 7 + 23

4x + 10 = 30

Now, you have a two-step equation. Subtract 10 from both sides, and then divide by 4.

4x + 10 = 30

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x = 5 is the final answer.

7 0
3 years ago
Determine the value of c so that f(x) is continuous on the entire real line when
mixer [17]

Answer:

A. -4

Step-by-step explanation:

Given the function f(x) = x + 3 for x ≤ -1 and 2x - c for x > -1, for the function to be continuous, the right hand limit of the function must be equal to its left hand limit.

For the left hand limit;

The function at the left hand occurs at x<-1

f-(x) = x+3

f-(-1) = -1+3

f-(-1) = 2

For the right hand limit, the function occurs at x>-1

f+(x) = 2x-c

f+(-1) = 2(-1)-c

f+(-1) = -2-c

For the function f(x) to be continuous on the entire real line at x = -1, then

f-(-1) = f+(-1)

On equating both sides:

2 = -2-c

Add 2 to both sides

2+2 = -2-c+2

4 =-c

Multiply both sides by minus.

-(-c) = -4

c = -4

Hence the value of c so that f(x) is continuous on the entire real line is -4

6 0
3 years ago
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