Determine the equivalent system for the given system of equations. 4x − 5y = 2 3x − y = 8
1 answer:
Answer:
<h2>Explanation:</h2>We have the following System of Linear Equations in two variables:
So let's call this as SYSTEM A. Two systems of equations are said to be equivalen if and only if they have the same solution, so we can get an equivalent system, called SYSTEM B, by multiplying an equation by some constant value. Let's say we multiply equation (1) by 2, then:
In conclusion:
SYSTEM A:
SYSTEM B:
SYSTEM A and SYSTEM B are equivalent
<h2>Learn more:</h2>System of equations: brainly.com/question/13799715
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Answer:
A. $2,000
Step-by-step explanation:
Let x represent Caitlin's monthly income and y represent Tim's monthly income.
We have been given that Caitlin has a car payment of $300 per month, which is 10% of her monthly income.
We can represent this information in an equation as:
Therefore, Caitlin's monthly income would be $3000.
We are also told that after Caitlin is married to Tim, her car payment will only be 6% of their combined monthly income.
This means that 6% of x plus y is equal to 300.
Therefore, Tim's monthly income is $2,000 and option A is the correct choice.
Answer:
y = x² - 7
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Here (h, k) = (0, - 7), thus
y = a(x - 0)² - 7
To find a substitute (4, - 3) into the equation
- 3 = a(4 - 0)² - 7, that is
- 3 = 16a - 7 ( add 7 to both sides )
4 = 16a ( divide both sides by 16 )
a = , thus
y = x² - 7