3. 1 Determine the values of A, B, C, D below:
𝑥 -2 A 1 5 D
𝑦 = 3𝑥 − 2 -8 -2 B C 19
To determine the values of A, B, C, and D, we need to equate the given expressions and solve for each variable.
Given:
x - 2 = D
y = 3x - 2
Since x - 2 = D, we can substitute D into the equation y = 3x - 2:
y = 3(x - 2) - 2
y = 3x - 6 - 2
y = 3x - 8
Now compare this equation with the given expression for y:
-8 = 3(A) - 2
Solving for A:
3A = -6
A = -2
Therefore, A = -2.
Now that we have determined the value of A, let's determine the values of B, C, and D:
From the equation x - 2 = D and the given values of x in the table: A = -2, D = 5.
Hence B = -8, C = -2.
So, the values of A, B, C, and D are:
A = -2
B = -8
C = -2
D = 5