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If (x, y) is a solution to the system of equations, what is the value of x?

2
3
x + y = 6
3x +
1
3
y = 2

User Querenker
by
4.8k points

1 Answer

1 vote

Value of x is 19/74

Explanation:

Step 1:

Given equations are 23x + y = 6 and 3x + 13y = 2. Multiply the first equation by 13 to make the coefficients of y the same. So, y can be eliminated and value of x can be found.

⇒ 299x + 13y = 78 ----- (1)

⇒ 3x + 13y = 2 ----------- (2)

Step 2:

Subtract (2) from (1)

⇒ 296x = 76

x = 19/74

User Justin Khoo
by
5.4k points