Answer:
D
Step-by-step explanation:
Answer:
56 : 28 as 122 : 61
Step-by-step explanation:
Proportion says that two ratios or fractions are equal.
As per the statement:
56 : 28 :: 122 : ?
Let x be the fourth proportion.
then;
56 : 28 :: 122 : x
by definition of proportion:
by cross multiply we have;
Divide both sides by 56 we have;
x = 61
Therefore, 56 : 28 as 122 : 61
-8x-10y=24
12x+10y=4
4x=28
x=7
6(7)+5y=2
42+5y=2
5y=-40
y=-8
Final answer: (7,-8)
The two equations that are equivalent to given equation 6x + 2y = 8 are 3x + y = 4 and 12x + 4y = 16
<em><u>
Solution:</u></em>
Given that we have to write two equations in standard form that is equivalent to 6x + 2y = 8
The standard form of an equation is Ax + By = C. In this kind of equation, x and y are variables and A, B, and C are integers
<em><u>Given equation is:</u></em>
6x + 2y = 8
Taking 2 as common term,
2(3x + y) = 8
3x + y = 4
Thus the above equation 3x + y = 4 is equivalent to given equation
Any equation that is a multiple of given equation 6x + 2y = 8 would be equivalent.
Multiply 6x + 2y = 8 by 2
[ note that you can multiply by any term like 0.5, 3, 3.5 and so on. Here we choose 2 to multiply ]
2(6x + 2y = 8) ⇒ 12x + 4y = 16
Thus the two equations that are equivalent to given equation are 3x + y = 4 and 12x + 4y = 16