1. Solve the following system of equation
(i) 4x + 6y= 19
Answers
Your two equations look like this
{
4
x
+
6
y
=
16
x
+
2
y
=
5
The first thing you need to do is use of the equations to solve for one of the two variables,
x
or
y
, then use this value into the other equation.
For simplicity, use the second equation to solve for
x
by adding
−
2
y
to both sides of the equation
x
+
2
y
−
2
y
=
5
−
2
y
x
=
5
−
2
y
Now plug this value for
x
in your first equation and solve for
y
4
⋅
(
5
−
2
y
)
+
6
y
=
16
20
−
8
y
+
6
y
=
16
20
−
2
y
=
16
Isolate
y
on one side of the equation
−
2
y
+
20
−
20
=
16
−
20
−
2
y
=
−
4
⇒
y
=
−
4
−
2
=
2
Now take this value and use it to determine
x
x
=
5
−
2
y
x
=
5
−
2
⋅
2
=
1
The two solutions to your system are
{
x
=
1
y
=
2
Answer:
chapter name?
Step-by-step explanation: