What product estimates 1,600
1 answer:
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Answer:
Given: The following system:
4x + y − 2z=18 ......[1]
2x-3y+3z = 21 ......[2]
x-3y=6 ......[3]
we can write equation [3] as;
3y = x-6 ......[4]
Multiply by 3 in equation [1] to both sides of an equation we get,
or
12x+3y-6z=54 ......[5]
Substituting the equation [4] in [2] and [5] we get;
2x-(x-6)+3z=21 or
2x-x+6+3z=21
Simplify:
x+3z=15 .....[6] [combine like terms]
12x+x-6-6z =54
Simplify:
13x-6z=60 ......[7] [Combine like terms]
On Solving equation [6] and [7] simultaneously,
x+3z=15
13x-6z=60
we get the value of x
i.e, x=6
Substitute the value of x in equation x+3z=15 we get
6+3z=15 or
3z=9
Simplify:
z=3
Also, substitute the value of x=6 in equation [3] we get the value of y;
x-3y=6
6-3y=6 or
-3y = 0
Simplify:
y = 0
Therefore, the solution to the system of three linear equation is, (6, 0 , 3)
Answer:
y = -3
x =
Step-by-step explanation:
4(y + ) - 2y = 8 Distribute the 4. Multiply everything in the parentheses by 4
4y + 14 - 2y = 8 4 =
= 14 Combine the like terms 4y and -2y
2y + 14 = 8 Subtract 14 from both sides
2y = -6 Divide both sides by 2
y = -3
Plug -3 in for y in either original equation.
4x - 2y = 8
4x -2(-3) = 8
4x + 6 = 8 Subtract 6 from both sides
4x = 2 Divide both sides by 4
x = =
Check:
x = y +
= -3+
=
+
=
4x - 2y = 8
4() - 2(-3) = 8
2 + 6 = 8
8 = 8