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Fynjy0 [20]
3 years ago
6

The point LaTeX: \left(-1,\:5\right)( − 1 , 5 ) is the solution for the following system of equations

Mathematics
1 answer:
balu736 [363]3 years ago
4 0
I think right is correct ( - 1, 5 )
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Solve the simultaneous equations
Contact [7]

Answer:

The solution for given system of equations is: x = 6 and y = 3

Or

(6,3)

Step-by-step explanation:

Given equations are:

3x+4y=30\ \ \ Eqn\ 1\\3x-y=15\ \ \ \ Eqn\ 2

There are three methods to solve simultaneous equations

  1. Elimination
  2. Substitution
  3. Co-efficient method

We will use the elimination method as the coefficients of x in both equations are already same

Subtracting equation 2 from equation 1

3x+4y - (3x-y) = 30-15\\3x+4y-3x+y = 15\\5y = 15\\\frac{5y}{5} = \frac{15}{5}\\y = 3

Putting y = 3 in equation 2

3x-3 = 15\\3x = 15+3\\3x = 18\\\frac{3x}{3} = \frac{18}{3}\\x =  6

Hence,

The solution for given system of equations is: x = 6 and y = 3

Or

(6,3)

7 0
3 years ago
Write 13/5 as a mixed number
mihalych1998 [28]

Answer:

2 <em>3/5</em>

Step-by-step explanation:

6 0
2 years ago
What is the equation of a line with a slope of -2 that passes through the point (-2,12)?
slavikrds [6]

Answer:

y=-2x + 8 which is the required equation

Which is option C

Step-by-step explanation:

Given:

Slope = m = -2

Given points are ( -2,12)

Which is

x = -2 and y =12

TO find:

Equation of line passing through these points = ?

Solution:

The point slope form of a line is

y = mx + c

Here we don't know the value of c

To find it

Putting y = 12 , x= -2 and y = -2 in the given equation

y = mx + c

Putting values it becomes

12 = (-2)*(-2) + c

12 = 4 + c

Subtracting 4 from both sides

12-4 = 4 -4 + c

8 = c

Now we have

m = -2 and c= 8

So equation of a line is given by

y = mx + c

Putting value of m and c

y = -2*x + 8

y=-2x + 8 which is the required equation


7 0
3 years ago
Read 2 more answers
What’s the equation of line
ivann1987 [24]

Answer:

y=-x+9

Step-by-step explanation:

5 0
3 years ago
Solve the inequality<br> 4b−4≤−20
devlian [24]

Answer:

b ≤ -4

Step-by-step explanation:

4b−4≤−20

4b - 4 + 4 ≤ - 20 + 4

4b ≤ -16

Divide both sides by 4

b ≤ -4

8 0
3 years ago
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