4x+3y=7
3x-2y=9
12x+9y=21
12x-8y=36
^^Multiply top equation by 3 and multiply bottom equation by 4
12x+9y=36
- 12x-8y=36
17y=-15
^^Then subtract those two new equations
17y/17= -15/17
Y= -0.88
^^Next divide both sides by 17
4x+3* -0.88=7
4x + (-2.64) =7
-(-2.64) -(-2.64)
4x = 9.64
4x/4=9.64/4
X=2.41
^^then choose on equation and put your new y in the y spot and solve.
X=2.41
Y=-0.88
Your point/coordinate is (2.41,-.88)
.35 as a fraction is 35/100=7/20 Hope this helps :D
<em>Note:</em>
<em>Your first question is missing the y-intercept, so I am solving the 2nd question. You would still get your concept clear because the procedure to solve each of the questions is the same.</em>
Question 2
Answer:
The equation in the standard form is:
Please also check the attached graph.
Step-by-step explanation:
We know that the equation in the standard form is
Ax + By = C
where x and y are variables and A, B and C are constants
Given
To determine
- Write the equation in the standard form
We know that the slope-intercept form of the line equation

where
In our case:
substituting m = -2/3 and y-intercept b = -4 in the slope-intercept of the line equation
y = mx+b
y = -2/3x + (-4)
y = -2/3x - 4
Writing the equation in the standard form
2/3x + y = -4
Therefore, the equation in the standard form is:
Please also check the attached graph.
the answer is 3 because you subtract 6 - 3 = 3r