The given linear equation has one solution: (-0.6, 1.6). The correct option is the second option one solution: (-0.6, 1.6)
Solving system of linear equations
From the question, we are to determine the number of solutions the given linear equation has
The given system of equations is
y = 2/3x+ 2 ---------- (1)
6x - 4y = -10 ---------- (2)
Substitute equation (1) into equation (2)
6x - 4y = -10
6x - 4(2/3x +2) = -10
6x - 8/3x -8 = -10
6x - 8/3x = -10 + 8
10x/3 = -2
10x = -2 × 3
10x = -6
x = -6/10
x = -0.6
Substitute the value of x into equation (1)
y = 2/3(-0.6)+ 2
y = -0.4 + 2
y = 1.6
The solution to the given system of equation is x = -0.6, y = 1.6. That is, (-0.6, 1.6)
Hence, the given linear equation has one solution: (-0.6, 1.6). The correct option is the second option one solution: (-0.6, 1.6)
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