Answer:
The solution for given system of equations is: x = 6 and y = 3
Or
(6,3)
Step-by-step explanation:
Given equations are:
There are three methods to solve simultaneous equations
- Elimination
- Substitution
- 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
Putting y = 3 in equation 2
Hence,
The solution for given system of equations is: x = 6 and y = 3
Or
(6,3)
5/2 is the answer.
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Answer:
y = 5x + 10
Step-by-step explanation:
From the information given, we can derive the points (-2, 0) and (0, 10). Find the slope using the slope formula:
Plug in the points:
Simplify:
m = 5.
The equation in slope-intercept form is y = mx + b. We were already given the b value, or y-intercept as y = 10. Therefore:
y = 5x + 10 is the equation written in slope-intercept form.
Answer:
16
Step-by-step explanation:
To solve a quadratic equation by using the completing the square method, the coefficient of the square term i.e x² must be one (1).
Therefore, we would have to first make the coefficient of x² to be equal to 1.
4x² + 24x + 8 = 32
We would simplify the equation;
4x² + 24x = 32 - 8
4x² + 24x = 24
Divide all through by 4;
x² + 8x = 24
The value to be added = (8/2)² = 4² = 16
x² + 8x + 16 = 8 + 16
x² + 4x + 4x + 16 = 24
x(x + 4) + 4(x + 4) = 24
(x + 4)² = 24
Taking the square root of both sides;
x + 4 = ± 4.9
x = -4 ± 4.9
x = -4 + 4.9 = 0.9
or
x = -4 - 4.9 = - 8.9
<em>Therefore, 16 must be added to solve the quadratic equation by completing the square method. </em>
Answer:
x = 4
y = 11
Step-by-step explanation:
You can make the equations 3x - 1 = 2x + 3
x = 4
y = 11
