Answer:
<h2>B) one solution</h2>
Step-by-step explanation:
Given the system of equations -4x - 5y = 5 and -0.08x + 0.10y = 0.10, to know the number of solutions the system of equation has, we need to solve for the values of x and y if possible.
-4x - 5y = 5... 1
-0.08x + 0.10y = 0.10... 2
Multiplying equation 2 by 100 will give -8x+10y = 10
The resulting system of equation will be;
-4x - 5y = 5 ...3 * 8
-8x + 10y = 10... 4 * 4
Using the elimination method to solve the equation, multiplying eqn 3 by 8 and eqn 4 by 4 we have;
-32x-40y = 40
-32x+40y = 40
Subtracting both resulting equations to eliminate x will give;
-40y-40y = 0
-80y = 0
y = 0
Substituting y = 0 into equation 3 to get x we have;
-4x-5(0) = 5
-4x = 5
x = -5/4
The solution to the system of equations is (0, -5/4). This shows that the system of equations only <u>has one solution</u>
Answer:
Step-by-step explanation:
3y – 6x = 3 -----------------------------------(I)
y = 2x + 1 ----------------------------------(II)
Substitute y = 2x + 1 in equation (I)
3*(2x+ 1) - 6x = 3
3*2x + 3*1 -6x = 3
6x + 3 - 6x = 3
3 = 3
So, no solutions
We will start with Chris's age, since Sue is older than him and Jim is older than Sue. Chris is the youngest. We will say Chris's age is x. If Sue is 2 years older than Chris, Sue is x + 2. Jim is 4 years older than Sue, so Jim is 4 + x + 2, or x + 6. The total of their ages is 68, so x + x + 2 + x + 6 = 68. Simplifying we have 3x + 8 = 68. 3x = 60, so x = 20. Chris is 20, Sue is 22, and Jim is 26. Those numbers do in fact total 68.
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Answer:
(4,-1/4)
Step-by-step explanation:
the answer is A (4,-1/4)