Chat with our AI personalities
13y+3z+8
-47 + 6z = 3z-2-3z -3z-47 + 3z = -2+47 +473z = 45/3 /3z = 15
-6z 2 = 3z+ 4z+28 -6z+2 +3z = 3z+ 4z +28 +4z -6z+4z+2 = 3z+ 28 -10z+2 -3z= 28 - 2 -10z + -3z = 26 -13z/13 = 26/-13 z = -2
Collect all the letters on one side and the numbers on the other; what you do to one side of the equals you do to the other: 3z + 2 = 6z - 13 → 3z +2 - 3z = 6z - 13 - 3z → 2 = 3z - 13 → 2 + 13 = 3z - 13 + 13 → 15 = 3z → 3z = 15 (this is just changing the equals around so that the letter is on the left) → 3z ÷ 3 = 15 ÷ 5 → z = 5
Let's say that 5x + 2y + 3z = 10 is a line (that lives in a three dimensional space. When we let z = 0, the given line is projected on the xy-plane, and it will cut both x- and y-axis. So the equation of the trace line is 5x + 2y = 10. The line cut the x-axis at x = 2, and the y-axis at y = 5.